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Finding the Fourth Proportional to 83,296.85, 114,830.09 and 59,382.01

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Solution

The fourth proportional to 83,296.85, 114,830.09 and 59,382.01 is: 81,861.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,296.85 : 114,830.09 = 59,382.01 : x
  2. Step 2: Convert to fraction form
    83,296.85/114,830.09 = 59,382.01/x
  3. Step 3: Cross multiply
    83,296.85x = 114,830.09 × 59,382.01
  4. Step 4: Simplify right side
    83,296.85x = 6,818,840,809.06
  5. Step 5: Solve for x
    x = 6,818,840,809.06/83,296.85
  6. Step 6: Final answer
    x = 81,861.93

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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.