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Finding the Fourth Proportional to 83,938.93, 115,768.94 and 59,366.16

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Solution

The fourth proportional to 83,938.93, 115,768.94 and 59,366.16 is: 81,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,938.93 : 115,768.94 = 59,366.16 : x
  2. Step 2: Convert to fraction form
    83,938.93/115,768.94 = 59,366.16/x
  3. Step 3: Cross multiply
    83,938.93x = 115,768.94 × 59,366.16
  4. Step 4: Simplify right side
    83,938.93x = 6,872,757,118.24
  5. Step 5: Solve for x
    x = 6,872,757,118.24/83,938.93
  6. Step 6: Final answer
    x = 81,878.07

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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.