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Finding the Fourth Proportional to 83,589.42, 115,385.52 and 56,743.92

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Solution

The fourth proportional to 83,589.42, 115,385.52 and 56,743.92 is: 78,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,589.42 : 115,385.52 = 56,743.92 : x
  2. Step 2: Convert to fraction form
    83,589.42/115,385.52 = 56,743.92/x
  3. Step 3: Cross multiply
    83,589.42x = 115,385.52 × 56,743.92
  4. Step 4: Simplify right side
    83,589.42x = 6,547,426,716.04
  5. Step 5: Solve for x
    x = 6,547,426,716.04/83,589.42
  6. Step 6: Final answer
    x = 78,328.41

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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.