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Finding the Fourth Proportional to 97,569.32, 146,351.68 and 44,978.80

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Solution

The fourth proportional to 97,569.32, 146,351.68 and 44,978.80 is: 67,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,569.32 : 146,351.68 = 44,978.80 : x
  2. Step 2: Convert to fraction form
    97,569.32/146,351.68 = 44,978.80/x
  3. Step 3: Cross multiply
    97,569.32x = 146,351.68 × 44,978.80
  4. Step 4: Simplify right side
    97,569.32x = 6,582,722,944.38
  5. Step 5: Solve for x
    x = 6,582,722,944.38/97,569.32
  6. Step 6: Final answer
    x = 67,467.14

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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.