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Finding the Fourth Proportional to 73,116.96, 109,734.84 and 38,066.64

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Solution

The fourth proportional to 73,116.96, 109,734.84 and 38,066.64 is: 57,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,116.96 : 109,734.84 = 38,066.64 : x
  2. Step 2: Convert to fraction form
    73,116.96/109,734.84 = 38,066.64/x
  3. Step 3: Cross multiply
    73,116.96x = 109,734.84 × 38,066.64
  4. Step 4: Simplify right side
    73,116.96x = 4,177,236,649.74
  5. Step 5: Solve for x
    x = 4,177,236,649.74/73,116.96
  6. Step 6: Final answer
    x = 57,130.89

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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.