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Finding the Fourth Proportional to 115,256.50, 172,884.75 and 37,432.50

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Solution

The fourth proportional to 115,256.50, 172,884.75 and 37,432.50 is: 56,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,256.50 : 172,884.75 = 37,432.50 : x
  2. Step 2: Convert to fraction form
    115,256.50/172,884.75 = 37,432.50/x
  3. Step 3: Cross multiply
    115,256.50x = 172,884.75 × 37,432.50
  4. Step 4: Simplify right side
    115,256.50x = 6,471,508,404.38
  5. Step 5: Solve for x
    x = 6,471,508,404.38/115,256.50
  6. Step 6: Final answer
    x = 56,148.75

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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.