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Finding the Fourth Proportional to 82,762.84, 124,067.46 and 37,750.36

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Solution

The fourth proportional to 82,762.84, 124,067.46 and 37,750.36 is: 56,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.84 : 124,067.46 = 37,750.36 : x
  2. Step 2: Convert to fraction form
    82,762.84/124,067.46 = 37,750.36/x
  3. Step 3: Cross multiply
    82,762.84x = 124,067.46 × 37,750.36
  4. Step 4: Simplify right side
    82,762.84x = 4,683,591,279.29
  5. Step 5: Solve for x
    x = 4,683,591,279.29/82,762.84
  6. Step 6: Final answer
    x = 56,590.51

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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.