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Finding the Fourth Proportional to 42,706.10, 64,059.15 and 16,411.70

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Solution

The fourth proportional to 42,706.10, 64,059.15 and 16,411.70 is: 24,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.10 : 64,059.15 = 16,411.70 : x
  2. Step 2: Convert to fraction form
    42,706.10/64,059.15 = 16,411.70/x
  3. Step 3: Cross multiply
    42,706.10x = 64,059.15 × 16,411.70
  4. Step 4: Simplify right side
    42,706.10x = 1,051,319,552.06
  5. Step 5: Solve for x
    x = 1,051,319,552.06/42,706.10
  6. Step 6: Final answer
    x = 24,617.55

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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.