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Finding the Fourth Proportional to 70,570.20, 97,387.98 and 38,742

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Solution

The fourth proportional to 70,570.20, 97,387.98 and 38,742 is: 53,464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,570.20 : 97,387.98 = 38,742 : x
  2. Step 2: Convert to fraction form
    70,570.20/97,387.98 = 38,742/x
  3. Step 3: Cross multiply
    70,570.20x = 97,387.98 × 38,742
  4. Step 4: Simplify right side
    70,570.20x = 3,773,005,121.16
  5. Step 5: Solve for x
    x = 3,773,005,121.16/70,570.20
  6. Step 6: Final answer
    x = 53,464.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.