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Finding the Fourth Proportional to 83,893.32, 115,769.70 and 46,166.76

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Solution

The fourth proportional to 83,893.32, 115,769.70 and 46,166.76 is: 63,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.32 : 115,769.70 = 46,166.76 : x
  2. Step 2: Convert to fraction form
    83,893.32/115,769.70 = 46,166.76/x
  3. Step 3: Cross multiply
    83,893.32x = 115,769.70 × 46,166.76
  4. Step 4: Simplify right side
    83,893.32x = 5,344,711,955.17
  5. Step 5: Solve for x
    x = 5,344,711,955.17/83,893.32
  6. Step 6: Final answer
    x = 63,708.43

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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.