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Finding the Fourth Proportional to 42,416.46, 63,625.50 and 12,834.18

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Solution

The fourth proportional to 42,416.46, 63,625.50 and 12,834.18 is: 19,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,416.46 : 63,625.50 = 12,834.18 : x
  2. Step 2: Convert to fraction form
    42,416.46/63,625.50 = 12,834.18/x
  3. Step 3: Cross multiply
    42,416.46x = 63,625.50 × 12,834.18
  4. Step 4: Simplify right side
    42,416.46x = 816,581,119.59
  5. Step 5: Solve for x
    x = 816,581,119.59/42,416.46
  6. Step 6: Final answer
    x = 19,251.52

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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.