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Finding the Fourth Proportional to 39,700.80, 59,528.52 and 16,308

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Solution

The fourth proportional to 39,700.80, 59,528.52 and 16,308 is: 24,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,700.80 : 59,528.52 = 16,308 : x
  2. Step 2: Convert to fraction form
    39,700.80/59,528.52 = 16,308/x
  3. Step 3: Cross multiply
    39,700.80x = 59,528.52 × 16,308
  4. Step 4: Simplify right side
    39,700.80x = 970,791,104.16
  5. Step 5: Solve for x
    x = 970,791,104.16/39,700.80
  6. Step 6: Final answer
    x = 24,452.68

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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.