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Finding the Fourth Proportional to 42,506.80, 63,757.72 and 16,214.20

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Solution

The fourth proportional to 42,506.80, 63,757.72 and 16,214.20 is: 24,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,506.80 : 63,757.72 = 16,214.20 : x
  2. Step 2: Convert to fraction form
    42,506.80/63,757.72 = 16,214.20/x
  3. Step 3: Cross multiply
    42,506.80x = 63,757.72 × 16,214.20
  4. Step 4: Simplify right side
    42,506.80x = 1,033,780,423.62
  5. Step 5: Solve for x
    x = 1,033,780,423.62/42,506.80
  6. Step 6: Final answer
    x = 24,320.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.