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Finding the Fourth Proportional to 101,742.60, 152,593.12 and 38,540.93

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Solution

The fourth proportional to 101,742.60, 152,593.12 and 38,540.93 is: 57,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.60 : 152,593.12 = 38,540.93 : x
  2. Step 2: Convert to fraction form
    101,742.60/152,593.12 = 38,540.93/x
  3. Step 3: Cross multiply
    101,742.60x = 152,593.12 × 38,540.93
  4. Step 4: Simplify right side
    101,742.60x = 5,881,080,683.16
  5. Step 5: Solve for x
    x = 5,881,080,683.16/101,742.60
  6. Step 6: Final answer
    x = 57,803.52

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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.