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Finding the Fourth Proportional to 99,494.34, 137,302.11 and 54,782.34

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Solution

The fourth proportional to 99,494.34, 137,302.11 and 54,782.34 is: 75,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,494.34 : 137,302.11 = 54,782.34 : x
  2. Step 2: Convert to fraction form
    99,494.34/137,302.11 = 54,782.34/x
  3. Step 3: Cross multiply
    99,494.34x = 137,302.11 × 54,782.34
  4. Step 4: Simplify right side
    99,494.34x = 7,521,730,872.74
  5. Step 5: Solve for x
    x = 7,521,730,872.74/99,494.34
  6. Step 6: Final answer
    x = 75,599.59

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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.