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Finding the Fourth Proportional to 56,683.68, 78,221.34 and 31,534.80

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Solution

The fourth proportional to 56,683.68, 78,221.34 and 31,534.80 is: 43,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,683.68 : 78,221.34 = 31,534.80 : x
  2. Step 2: Convert to fraction form
    56,683.68/78,221.34 = 31,534.80/x
  3. Step 3: Cross multiply
    56,683.68x = 78,221.34 × 31,534.80
  4. Step 4: Simplify right side
    56,683.68x = 2,466,694,312.63
  5. Step 5: Solve for x
    x = 2,466,694,312.63/56,683.68
  6. Step 6: Final answer
    x = 43,516.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.