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Finding the Fourth Proportional to 71,164.80, 106,749.36 and 24,417

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Solution

The fourth proportional to 71,164.80, 106,749.36 and 24,417 is: 36,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.80 : 106,749.36 = 24,417 : x
  2. Step 2: Convert to fraction form
    71,164.80/106,749.36 = 24,417/x
  3. Step 3: Cross multiply
    71,164.80x = 106,749.36 × 24,417
  4. Step 4: Simplify right side
    71,164.80x = 2,606,499,123.12
  5. Step 5: Solve for x
    x = 2,606,499,123.12/71,164.80
  6. Step 6: Final answer
    x = 36,626.24

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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.