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Finding the Fourth Proportional to 83,758, 115,586.04 and 46,034.68

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Solution

The fourth proportional to 83,758, 115,586.04 and 46,034.68 is: 63,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,758 : 115,586.04 = 46,034.68 : x
  2. Step 2: Convert to fraction form
    83,758/115,586.04 = 46,034.68/x
  3. Step 3: Cross multiply
    83,758x = 115,586.04 × 46,034.68
  4. Step 4: Simplify right side
    83,758x = 5,320,966,363.87
  5. Step 5: Solve for x
    x = 5,320,966,363.87/83,758
  6. Step 6: Final answer
    x = 63,527.86

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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.