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Finding the Fourth Proportional to 97,342.62, 145,927.15 and 52,388.11

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Solution

The fourth proportional to 97,342.62, 145,927.15 and 52,388.11 is: 78,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,342.62 : 145,927.15 = 52,388.11 : x
  2. Step 2: Convert to fraction form
    97,342.62/145,927.15 = 52,388.11/x
  3. Step 3: Cross multiply
    97,342.62x = 145,927.15 × 52,388.11
  4. Step 4: Simplify right side
    97,342.62x = 7,644,847,668.87
  5. Step 5: Solve for x
    x = 7,644,847,668.87/97,342.62
  6. Step 6: Final answer
    x = 78,535.46

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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.