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Finding the Fourth Proportional to 82,957.74, 124,476.66 and 40,814.97

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Solution

The fourth proportional to 82,957.74, 124,476.66 and 40,814.97 is: 61,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.74 : 124,476.66 = 40,814.97 : x
  2. Step 2: Convert to fraction form
    82,957.74/124,476.66 = 40,814.97/x
  3. Step 3: Cross multiply
    82,957.74x = 124,476.66 × 40,814.97
  4. Step 4: Simplify right side
    82,957.74x = 5,080,511,143.60
  5. Step 5: Solve for x
    x = 5,080,511,143.60/82,957.74
  6. Step 6: Final answer
    x = 61,242.16

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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.