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Finding the Fourth Proportional to 75,742, 113,627.60 and 34,189.04

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Solution

The fourth proportional to 75,742, 113,627.60 and 34,189.04 is: 51,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,742 : 113,627.60 = 34,189.04 : x
  2. Step 2: Convert to fraction form
    75,742/113,627.60 = 34,189.04/x
  3. Step 3: Cross multiply
    75,742x = 113,627.60 × 34,189.04
  4. Step 4: Simplify right side
    75,742x = 3,884,818,561.50
  5. Step 5: Solve for x
    x = 3,884,818,561.50/75,742
  6. Step 6: Final answer
    x = 51,290.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.