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Finding the Fourth Proportional to 82,507.66, 123,741.65 and 38,091.74

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Solution

The fourth proportional to 82,507.66, 123,741.65 and 38,091.74 is: 57,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.66 : 123,741.65 = 38,091.74 : x
  2. Step 2: Convert to fraction form
    82,507.66/123,741.65 = 38,091.74/x
  3. Step 3: Cross multiply
    82,507.66x = 123,741.65 × 38,091.74
  4. Step 4: Simplify right side
    82,507.66x = 4,713,534,758.97
  5. Step 5: Solve for x
    x = 4,713,534,758.97/82,507.66
  6. Step 6: Final answer
    x = 57,128.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.