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Finding the Fourth Proportional to 54,502.60, 81,753.90 and 37,827.40

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Solution

The fourth proportional to 54,502.60, 81,753.90 and 37,827.40 is: 56,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,502.60 : 81,753.90 = 37,827.40 : x
  2. Step 2: Convert to fraction form
    54,502.60/81,753.90 = 37,827.40/x
  3. Step 3: Cross multiply
    54,502.60x = 81,753.90 × 37,827.40
  4. Step 4: Simplify right side
    54,502.60x = 3,092,537,476.86
  5. Step 5: Solve for x
    x = 3,092,537,476.86/54,502.60
  6. Step 6: Final answer
    x = 56,741.10

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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.