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Finding the Fourth Proportional to 97,473.69, 146,218.29 and 37,531.20

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Solution

The fourth proportional to 97,473.69, 146,218.29 and 37,531.20 is: 56,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473.69 : 146,218.29 = 37,531.20 : x
  2. Step 2: Convert to fraction form
    97,473.69/146,218.29 = 37,531.20/x
  3. Step 3: Cross multiply
    97,473.69x = 146,218.29 × 37,531.20
  4. Step 4: Simplify right side
    97,473.69x = 5,487,747,885.65
  5. Step 5: Solve for x
    x = 5,487,747,885.65/97,473.69
  6. Step 6: Final answer
    x = 56,299.79

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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.