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Finding the Fourth Proportional to 83,265.31, 114,903.28 and 47,466.86

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Solution

The fourth proportional to 83,265.31, 114,903.28 and 47,466.86 is: 65,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,265.31 : 114,903.28 = 47,466.86 : x
  2. Step 2: Convert to fraction form
    83,265.31/114,903.28 = 47,466.86/x
  3. Step 3: Cross multiply
    83,265.31x = 114,903.28 × 47,466.86
  4. Step 4: Simplify right side
    83,265.31x = 5,454,097,212.12
  5. Step 5: Solve for x
    x = 5,454,097,212.12/83,265.31
  6. Step 6: Final answer
    x = 65,502.64

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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.