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Finding the Fourth Proportional to 83,882.75, 115,759.01 and 46,157.81

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Solution

The fourth proportional to 83,882.75, 115,759.01 and 46,157.81 is: 63,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,882.75 : 115,759.01 = 46,157.81 : x
  2. Step 2: Convert to fraction form
    83,882.75/115,759.01 = 46,157.81/x
  3. Step 3: Cross multiply
    83,882.75x = 115,759.01 × 46,157.81
  4. Step 4: Simplify right side
    83,882.75x = 5,343,182,158.58
  5. Step 5: Solve for x
    x = 5,343,182,158.58/83,882.75
  6. Step 6: Final answer
    x = 63,698.22

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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.