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Finding the Fourth Proportional to 102,082.32, 153,067.32 and 38,008.08

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Solution

The fourth proportional to 102,082.32, 153,067.32 and 38,008.08 is: 56,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,082.32 : 153,067.32 = 38,008.08 : x
  2. Step 2: Convert to fraction form
    102,082.32/153,067.32 = 38,008.08/x
  3. Step 3: Cross multiply
    102,082.32x = 153,067.32 × 38,008.08
  4. Step 4: Simplify right side
    102,082.32x = 5,817,794,943.95
  5. Step 5: Solve for x
    x = 5,817,794,943.95/102,082.32
  6. Step 6: Final answer
    x = 56,991.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.