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Finding the Fourth Proportional to 101,502.72, 152,268.66 and 31,387.50

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Solution

The fourth proportional to 101,502.72, 152,268.66 and 31,387.50 is: 47,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,502.72 : 152,268.66 = 31,387.50 : x
  2. Step 2: Convert to fraction form
    101,502.72/152,268.66 = 31,387.50/x
  3. Step 3: Cross multiply
    101,502.72x = 152,268.66 × 31,387.50
  4. Step 4: Simplify right side
    101,502.72x = 4,779,332,565.75
  5. Step 5: Solve for x
    x = 4,779,332,565.75/101,502.72
  6. Step 6: Final answer
    x = 47,085.76

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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.