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Finding the Fourth Proportional to 82,884.94, 124,327.29 and 38,487.41

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Solution

The fourth proportional to 82,884.94, 124,327.29 and 38,487.41 is: 57,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,884.94 : 124,327.29 = 38,487.41 : x
  2. Step 2: Convert to fraction form
    82,884.94/124,327.29 = 38,487.41/x
  3. Step 3: Cross multiply
    82,884.94x = 124,327.29 × 38,487.41
  4. Step 4: Simplify right side
    82,884.94x = 4,785,035,384.42
  5. Step 5: Solve for x
    x = 4,785,035,384.42/82,884.94
  6. Step 6: Final answer
    x = 57,731.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.