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Finding the Fourth Proportional to 83,963.79, 115,867.94 and 47,672.01

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Solution

The fourth proportional to 83,963.79, 115,867.94 and 47,672.01 is: 65,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,963.79 : 115,867.94 = 47,672.01 : x
  2. Step 2: Convert to fraction form
    83,963.79/115,867.94 = 47,672.01/x
  3. Step 3: Cross multiply
    83,963.79x = 115,867.94 × 47,672.01
  4. Step 4: Simplify right side
    83,963.79x = 5,523,657,356.00
  5. Step 5: Solve for x
    x = 5,523,657,356.00/83,963.79
  6. Step 6: Final answer
    x = 65,786.18

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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.