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Finding the Fourth Proportional to 99,678.39, 149,491.92 and 29,541.30

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Solution

The fourth proportional to 99,678.39, 149,491.92 and 29,541.30 is: 44,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,678.39 : 149,491.92 = 29,541.30 : x
  2. Step 2: Convert to fraction form
    99,678.39/149,491.92 = 29,541.30/x
  3. Step 3: Cross multiply
    99,678.39x = 149,491.92 × 29,541.30
  4. Step 4: Simplify right side
    99,678.39x = 4,416,185,656.30
  5. Step 5: Solve for x
    x = 4,416,185,656.30/99,678.39
  6. Step 6: Final answer
    x = 44,304.34

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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.