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Finding the Fourth Proportional to 31,968,273.60, 47,952,410.40 and 10,404,907.20

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Solution

The fourth proportional to 31,968,273.60, 47,952,410.40 and 10,404,907.20 is: 15,607,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968,273.60 : 47,952,410.40 = 10,404,907.20 : x
  2. Step 2: Convert to fraction form
    31,968,273.60/47,952,410.40 = 10,404,907.20/x
  3. Step 3: Cross multiply
    31,968,273.60x = 47,952,410.40 × 10,404,907.20
  4. Step 4: Simplify right side
    31,968,273.60x = 498,940,380,228,314.81
  5. Step 5: Solve for x
    x = 498,940,380,228,314.81/31,968,273.60
  6. Step 6: Final answer
    x = 15,607,360.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.