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Finding the Fourth Proportional to 83,565.41, 115,328.55 and 47,760.56

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Solution

The fourth proportional to 83,565.41, 115,328.55 and 47,760.56 is: 65,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565.41 : 115,328.55 = 47,760.56 : x
  2. Step 2: Convert to fraction form
    83,565.41/115,328.55 = 47,760.56/x
  3. Step 3: Cross multiply
    83,565.41x = 115,328.55 × 47,760.56
  4. Step 4: Simplify right side
    83,565.41x = 5,508,156,131.99
  5. Step 5: Solve for x
    x = 5,508,156,131.99/83,565.41
  6. Step 6: Final answer
    x = 65,914.31

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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.