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Finding the Fourth Proportional to 99,343.26, 137,095.32 and 54,022.14

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Solution

The fourth proportional to 99,343.26, 137,095.32 and 54,022.14 is: 74,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,343.26 : 137,095.32 = 54,022.14 : x
  2. Step 2: Convert to fraction form
    99,343.26/137,095.32 = 54,022.14/x
  3. Step 3: Cross multiply
    99,343.26x = 137,095.32 × 54,022.14
  4. Step 4: Simplify right side
    99,343.26x = 7,406,182,570.38
  5. Step 5: Solve for x
    x = 7,406,182,570.38/99,343.26
  6. Step 6: Final answer
    x = 74,551.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.