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Finding the Fourth Proportional to 37,199.75, 55,752.17 and 17,434.76

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Solution

The fourth proportional to 37,199.75, 55,752.17 and 17,434.76 is: 26,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,199.75 : 55,752.17 = 17,434.76 : x
  2. Step 2: Convert to fraction form
    37,199.75/55,752.17 = 17,434.76/x
  3. Step 3: Cross multiply
    37,199.75x = 55,752.17 × 17,434.76
  4. Step 4: Simplify right side
    37,199.75x = 972,025,337.49
  5. Step 5: Solve for x
    x = 972,025,337.49/37,199.75
  6. Step 6: Final answer
    x = 26,129.89

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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.