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Finding the Fourth Proportional to 97,498.62, 146,218.86 and 41,337.84

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Solution

The fourth proportional to 97,498.62, 146,218.86 and 41,337.84 is: 61,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,498.62 : 146,218.86 = 41,337.84 : x
  2. Step 2: Convert to fraction form
    97,498.62/146,218.86 = 41,337.84/x
  3. Step 3: Cross multiply
    97,498.62x = 146,218.86 × 41,337.84
  4. Step 4: Simplify right side
    97,498.62x = 6,044,371,839.66
  5. Step 5: Solve for x
    x = 6,044,371,839.66/97,498.62
  6. Step 6: Final answer
    x = 61,994.43

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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.