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Finding the Fourth Proportional to 83,045.59, 114,598.67 and 47,234.81

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Solution

The fourth proportional to 83,045.59, 114,598.67 and 47,234.81 is: 65,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,045.59 : 114,598.67 = 47,234.81 : x
  2. Step 2: Convert to fraction form
    83,045.59/114,598.67 = 47,234.81/x
  3. Step 3: Cross multiply
    83,045.59x = 114,598.67 × 47,234.81
  4. Step 4: Simplify right side
    83,045.59x = 5,413,046,454.03
  5. Step 5: Solve for x
    x = 5,413,046,454.03/83,045.59
  6. Step 6: Final answer
    x = 65,181.63

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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.