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Finding the Fourth Proportional to 82,502.32, 113,855.94 and 46,691.92

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Solution

The fourth proportional to 82,502.32, 113,855.94 and 46,691.92 is: 64,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,502.32 : 113,855.94 = 46,691.92 : x
  2. Step 2: Convert to fraction form
    82,502.32/113,855.94 = 46,691.92/x
  3. Step 3: Cross multiply
    82,502.32x = 113,855.94 × 46,691.92
  4. Step 4: Simplify right side
    82,502.32x = 5,316,152,442.00
  5. Step 5: Solve for x
    x = 5,316,152,442.00/82,502.32
  6. Step 6: Final answer
    x = 64,436.40

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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.