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Finding the Fourth Proportional to 42,077.68, 63,162.69 and 21,011.81

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Solution

The fourth proportional to 42,077.68, 63,162.69 and 21,011.81 is: 31,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,077.68 : 63,162.69 = 21,011.81 : x
  2. Step 2: Convert to fraction form
    42,077.68/63,162.69 = 21,011.81/x
  3. Step 3: Cross multiply
    42,077.68x = 63,162.69 × 21,011.81
  4. Step 4: Simplify right side
    42,077.68x = 1,327,162,046.76
  5. Step 5: Solve for x
    x = 1,327,162,046.76/42,077.68
  6. Step 6: Final answer
    x = 31,540.76

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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.