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Finding the Fourth Proportional to 82,826.64, 114,275.88 and 74,843.28

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Solution

The fourth proportional to 82,826.64, 114,275.88 and 74,843.28 is: 103,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,826.64 : 114,275.88 = 74,843.28 : x
  2. Step 2: Convert to fraction form
    82,826.64/114,275.88 = 74,843.28/x
  3. Step 3: Cross multiply
    82,826.64x = 114,275.88 × 74,843.28
  4. Step 4: Simplify right side
    82,826.64x = 8,552,781,684.09
  5. Step 5: Solve for x
    x = 8,552,781,684.09/82,826.64
  6. Step 6: Final answer
    x = 103,261.24

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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.