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Finding the Fourth Proportional to 82,759.84, 124,062.96 and 37,747.36

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Solution

The fourth proportional to 82,759.84, 124,062.96 and 37,747.36 is: 56,586.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,759.84 : 124,062.96 = 37,747.36 : x
  2. Step 2: Convert to fraction form
    82,759.84/124,062.96 = 37,747.36/x
  3. Step 3: Cross multiply
    82,759.84x = 124,062.96 × 37,747.36
  4. Step 4: Simplify right side
    82,759.84x = 4,683,049,213.79
  5. Step 5: Solve for x
    x = 4,683,049,213.79/82,759.84
  6. Step 6: Final answer
    x = 56,586.01

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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.