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Finding the Fourth Proportional to 96,346.26, 144,447.06 and 29,747.22

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Solution

The fourth proportional to 96,346.26, 144,447.06 and 29,747.22 is: 44,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,346.26 : 144,447.06 = 29,747.22 : x
  2. Step 2: Convert to fraction form
    96,346.26/144,447.06 = 29,747.22/x
  3. Step 3: Cross multiply
    96,346.26x = 144,447.06 × 29,747.22
  4. Step 4: Simplify right side
    96,346.26x = 4,296,898,472.17
  5. Step 5: Solve for x
    x = 4,296,898,472.17/96,346.26
  6. Step 6: Final answer
    x = 44,598.50

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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.