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Finding the Fourth Proportional to 42,029.40, 63,044.10 and 12,451.80

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Solution

The fourth proportional to 42,029.40, 63,044.10 and 12,451.80 is: 18,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,029.40 : 63,044.10 = 12,451.80 : x
  2. Step 2: Convert to fraction form
    42,029.40/63,044.10 = 12,451.80/x
  3. Step 3: Cross multiply
    42,029.40x = 63,044.10 × 12,451.80
  4. Step 4: Simplify right side
    42,029.40x = 785,012,524.38
  5. Step 5: Solve for x
    x = 785,012,524.38/42,029.40
  6. Step 6: Final answer
    x = 18,677.70

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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.