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Finding the Fourth Proportional to 83,689.12, 115,496.64 and 45,963.76

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Solution

The fourth proportional to 83,689.12, 115,496.64 and 45,963.76 is: 63,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,689.12 : 115,496.64 = 45,963.76 : x
  2. Step 2: Convert to fraction form
    83,689.12/115,496.64 = 45,963.76/x
  3. Step 3: Cross multiply
    83,689.12x = 115,496.64 × 45,963.76
  4. Step 4: Simplify right side
    83,689.12x = 5,308,659,841.77
  5. Step 5: Solve for x
    x = 5,308,659,841.77/83,689.12
  6. Step 6: Final answer
    x = 63,433.09

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1.5x scale

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.