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Finding the Fourth Proportional to 83,271.69, 114,842.31 and 59,024.70

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Solution

The fourth proportional to 83,271.69, 114,842.31 and 59,024.70 is: 81,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271.69 : 114,842.31 = 59,024.70 : x
  2. Step 2: Convert to fraction form
    83,271.69/114,842.31 = 59,024.70/x
  3. Step 3: Cross multiply
    83,271.69x = 114,842.31 × 59,024.70
  4. Step 4: Simplify right side
    83,271.69x = 6,778,532,895.06
  5. Step 5: Solve for x
    x = 6,778,532,895.06/83,271.69
  6. Step 6: Final answer
    x = 81,402.61

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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.