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Finding the Fourth Proportional to 83,393.16, 115,072.02 and 66,440.40

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Solution

The fourth proportional to 83,393.16, 115,072.02 and 66,440.40 is: 91,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,393.16 : 115,072.02 = 66,440.40 : x
  2. Step 2: Convert to fraction form
    83,393.16/115,072.02 = 66,440.40/x
  3. Step 3: Cross multiply
    83,393.16x = 115,072.02 × 66,440.40
  4. Step 4: Simplify right side
    83,393.16x = 7,645,431,037.61
  5. Step 5: Solve for x
    x = 7,645,431,037.61/83,393.16
  6. Step 6: Final answer
    x = 91,679.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.