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Finding the Fourth Proportional to 83,424.40, 115,119.29 and 47,609.57

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Solution

The fourth proportional to 83,424.40, 115,119.29 and 47,609.57 is: 65,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,424.40 : 115,119.29 = 47,609.57 : x
  2. Step 2: Convert to fraction form
    83,424.40/115,119.29 = 47,609.57/x
  3. Step 3: Cross multiply
    83,424.40x = 115,119.29 × 47,609.57
  4. Step 4: Simplify right side
    83,424.40x = 5,480,780,302.43
  5. Step 5: Solve for x
    x = 5,480,780,302.43/83,424.40
  6. Step 6: Final answer
    x = 65,697.57

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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.