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Finding the Fourth Proportional to 97,509.32, 146,264 and 35,179.80

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Solution

The fourth proportional to 97,509.32, 146,264 and 35,179.80 is: 52,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,509.32 : 146,264 = 35,179.80 : x
  2. Step 2: Convert to fraction form
    97,509.32/146,264 = 35,179.80/x
  3. Step 3: Cross multiply
    97,509.32x = 146,264 × 35,179.80
  4. Step 4: Simplify right side
    97,509.32x = 5,145,538,267.20
  5. Step 5: Solve for x
    x = 5,145,538,267.20/97,509.32
  6. Step 6: Final answer
    x = 52,769.71

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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.