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Finding the Fourth Proportional to 42,400.80, 63,599.16 and 16,103.50

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Solution

The fourth proportional to 42,400.80, 63,599.16 and 16,103.50 is: 24,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,400.80 : 63,599.16 = 16,103.50 : x
  2. Step 2: Convert to fraction form
    42,400.80/63,599.16 = 16,103.50/x
  3. Step 3: Cross multiply
    42,400.80x = 63,599.16 × 16,103.50
  4. Step 4: Simplify right side
    42,400.80x = 1,024,168,760.46
  5. Step 5: Solve for x
    x = 1,024,168,760.46/42,400.80
  6. Step 6: Final answer
    x = 24,154.47

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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.