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Finding the Fourth Proportional to 97,909.52, 146,866.34 and 31,349.46

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Solution

The fourth proportional to 97,909.52, 146,866.34 and 31,349.46 is: 47,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,909.52 : 146,866.34 = 31,349.46 : x
  2. Step 2: Convert to fraction form
    97,909.52/146,866.34 = 31,349.46/x
  3. Step 3: Cross multiply
    97,909.52x = 146,866.34 × 31,349.46
  4. Step 4: Simplify right side
    97,909.52x = 4,604,180,294.43
  5. Step 5: Solve for x
    x = 4,604,180,294.43/97,909.52
  6. Step 6: Final answer
    x = 47,024.85

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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.