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Finding the Fourth Proportional to 82,984.50, 124,502.13 and 34,977.97

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Solution

The fourth proportional to 82,984.50, 124,502.13 and 34,977.97 is: 52,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,984.50 : 124,502.13 = 34,977.97 : x
  2. Step 2: Convert to fraction form
    82,984.50/124,502.13 = 34,977.97/x
  3. Step 3: Cross multiply
    82,984.50x = 124,502.13 × 34,977.97
  4. Step 4: Simplify right side
    82,984.50x = 4,354,831,425.98
  5. Step 5: Solve for x
    x = 4,354,831,425.98/82,984.50
  6. Step 6: Final answer
    x = 52,477.65

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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.