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Finding the Fourth Proportional to 72,431.20, 108,646.80 and 19,840.60

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Solution

The fourth proportional to 72,431.20, 108,646.80 and 19,840.60 is: 29,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,431.20 : 108,646.80 = 19,840.60 : x
  2. Step 2: Convert to fraction form
    72,431.20/108,646.80 = 19,840.60/x
  3. Step 3: Cross multiply
    72,431.20x = 108,646.80 × 19,840.60
  4. Step 4: Simplify right side
    72,431.20x = 2,155,617,700.08
  5. Step 5: Solve for x
    x = 2,155,617,700.08/72,431.20
  6. Step 6: Final answer
    x = 29,760.90

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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.