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Finding the Fourth Proportional to 102,395.85, 153,593.74 and 32,275.14

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Solution

The fourth proportional to 102,395.85, 153,593.74 and 32,275.14 is: 48,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395.85 : 153,593.74 = 32,275.14 : x
  2. Step 2: Convert to fraction form
    102,395.85/153,593.74 = 32,275.14/x
  3. Step 3: Cross multiply
    102,395.85x = 153,593.74 × 32,275.14
  4. Step 4: Simplify right side
    102,395.85x = 4,957,259,461.62
  5. Step 5: Solve for x
    x = 4,957,259,461.62/102,395.85
  6. Step 6: Final answer
    x = 48,412.70

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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.