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Finding the Fourth Proportional to 97,498.88, 146,229.82 and 47,528.72

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Solution

The fourth proportional to 97,498.88, 146,229.82 and 47,528.72 is: 71,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,498.88 : 146,229.82 = 47,528.72 : x
  2. Step 2: Convert to fraction form
    97,498.88/146,229.82 = 47,528.72/x
  3. Step 3: Cross multiply
    97,498.88x = 146,229.82 × 47,528.72
  4. Step 4: Simplify right side
    97,498.88x = 6,950,115,320.46
  5. Step 5: Solve for x
    x = 6,950,115,320.46/97,498.88
  6. Step 6: Final answer
    x = 71,284.06

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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.