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Finding the Fourth Proportional to 107,783.60, 161,699.70 and 32,907.20

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Solution

The fourth proportional to 107,783.60, 161,699.70 and 32,907.20 is: 49,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,783.60 : 161,699.70 = 32,907.20 : x
  2. Step 2: Convert to fraction form
    107,783.60/161,699.70 = 32,907.20/x
  3. Step 3: Cross multiply
    107,783.60x = 161,699.70 × 32,907.20
  4. Step 4: Simplify right side
    107,783.60x = 5,321,084,367.84
  5. Step 5: Solve for x
    x = 5,321,084,367.84/107,783.60
  6. Step 6: Final answer
    x = 49,368.22

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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.