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Finding the Fourth Proportional to 59,829.60, 89,744.40 and 20,431.20

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Solution

The fourth proportional to 59,829.60, 89,744.40 and 20,431.20 is: 30,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,829.60 : 89,744.40 = 20,431.20 : x
  2. Step 2: Convert to fraction form
    59,829.60/89,744.40 = 20,431.20/x
  3. Step 3: Cross multiply
    59,829.60x = 89,744.40 × 20,431.20
  4. Step 4: Simplify right side
    59,829.60x = 1,833,585,785.28
  5. Step 5: Solve for x
    x = 1,833,585,785.28/59,829.60
  6. Step 6: Final answer
    x = 30,646.80

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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.