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Finding the Fourth Proportional to 101,395.68, 152,114.94 and 38,214.47

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Solution

The fourth proportional to 101,395.68, 152,114.94 and 38,214.47 is: 57,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,395.68 : 152,114.94 = 38,214.47 : x
  2. Step 2: Convert to fraction form
    101,395.68/152,114.94 = 38,214.47/x
  3. Step 3: Cross multiply
    101,395.68x = 152,114.94 × 38,214.47
  4. Step 4: Simplify right side
    101,395.68x = 5,812,991,811.18
  5. Step 5: Solve for x
    x = 5,812,991,811.18/101,395.68
  6. Step 6: Final answer
    x = 57,329.78

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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.