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Finding the Fourth Proportional to 42,051.60, 63,057.96 and 12,461.76

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Solution

The fourth proportional to 42,051.60, 63,057.96 and 12,461.76 is: 18,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,051.60 : 63,057.96 = 12,461.76 : x
  2. Step 2: Convert to fraction form
    42,051.60/63,057.96 = 12,461.76/x
  3. Step 3: Cross multiply
    42,051.60x = 63,057.96 × 12,461.76
  4. Step 4: Simplify right side
    42,051.60x = 785,813,163.61
  5. Step 5: Solve for x
    x = 785,813,163.61/42,051.60
  6. Step 6: Final answer
    x = 18,686.88

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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.