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Finding the Fourth Proportional to 101,394.68, 152,113.44 and 38,213.47

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Solution

The fourth proportional to 101,394.68, 152,113.44 and 38,213.47 is: 57,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,394.68 : 152,113.44 = 38,213.47 : x
  2. Step 2: Convert to fraction form
    101,394.68/152,113.44 = 38,213.47/x
  3. Step 3: Cross multiply
    101,394.68x = 152,113.44 × 38,213.47
  4. Step 4: Simplify right side
    101,394.68x = 5,812,781,424.40
  5. Step 5: Solve for x
    x = 5,812,781,424.40/101,394.68
  6. Step 6: Final answer
    x = 57,328.27

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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.