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Finding the Fourth Proportional to 83,097.72, 114,510.06 and 59,182.20

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Solution

The fourth proportional to 83,097.72, 114,510.06 and 59,182.20 is: 81,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,097.72 : 114,510.06 = 59,182.20 : x
  2. Step 2: Convert to fraction form
    83,097.72/114,510.06 = 59,182.20/x
  3. Step 3: Cross multiply
    83,097.72x = 114,510.06 × 59,182.20
  4. Step 4: Simplify right side
    83,097.72x = 6,776,957,272.93
  5. Step 5: Solve for x
    x = 6,776,957,272.93/83,097.72
  6. Step 6: Final answer
    x = 81,554.07

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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.