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Finding the Fourth Proportional to 113,096.52, 169,663.21 and 38,221.20

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Solution

The fourth proportional to 113,096.52, 169,663.21 and 38,221.20 is: 57,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,096.52 : 169,663.21 = 38,221.20 : x
  2. Step 2: Convert to fraction form
    113,096.52/169,663.21 = 38,221.20/x
  3. Step 3: Cross multiply
    113,096.52x = 169,663.21 × 38,221.20
  4. Step 4: Simplify right side
    113,096.52x = 6,484,731,386.50
  5. Step 5: Solve for x
    x = 6,484,731,386.50/113,096.52
  6. Step 6: Final answer
    x = 57,338.03

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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.