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Finding the Fourth Proportional to 106,710.30, 160,073.55 and 31,824.60

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Solution

The fourth proportional to 106,710.30, 160,073.55 and 31,824.60 is: 47,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,710.30 : 160,073.55 = 31,824.60 : x
  2. Step 2: Convert to fraction form
    106,710.30/160,073.55 = 31,824.60/x
  3. Step 3: Cross multiply
    106,710.30x = 160,073.55 × 31,824.60
  4. Step 4: Simplify right side
    106,710.30x = 5,094,276,699.33
  5. Step 5: Solve for x
    x = 5,094,276,699.33/106,710.30
  6. Step 6: Final answer
    x = 47,739.32

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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.