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Finding the Fourth Proportional to 42,062.30, 63,083.71 and 12,473

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Solution

The fourth proportional to 42,062.30, 63,083.71 and 12,473 is: 18,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,062.30 : 63,083.71 = 12,473 : x
  2. Step 2: Convert to fraction form
    42,062.30/63,083.71 = 12,473/x
  3. Step 3: Cross multiply
    42,062.30x = 63,083.71 × 12,473
  4. Step 4: Simplify right side
    42,062.30x = 786,843,114.83
  5. Step 5: Solve for x
    x = 786,843,114.83/42,062.30
  6. Step 6: Final answer
    x = 18,706.61

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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.