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Finding the Fourth Proportional to 42,417.46, 63,627 and 12,835.18

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Solution

The fourth proportional to 42,417.46, 63,627 and 12,835.18 is: 19,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,417.46 : 63,627 = 12,835.18 : x
  2. Step 2: Convert to fraction form
    42,417.46/63,627 = 12,835.18/x
  3. Step 3: Cross multiply
    42,417.46x = 63,627 × 12,835.18
  4. Step 4: Simplify right side
    42,417.46x = 816,663,997.86
  5. Step 5: Solve for x
    x = 816,663,997.86/42,417.46
  6. Step 6: Final answer
    x = 19,253.02

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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.