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Finding the Fourth Proportional to 82,747.76, 124,141.14 and 36,014.00

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Solution

The fourth proportional to 82,747.76, 124,141.14 and 36,014.00 is: 54,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,747.76 : 124,141.14 = 36,014.00 : x
  2. Step 2: Convert to fraction form
    82,747.76/124,141.14 = 36,014.00/x
  3. Step 3: Cross multiply
    82,747.76x = 124,141.14 × 36,014.00
  4. Step 4: Simplify right side
    82,747.76x = 4,470,818,395.25
  5. Step 5: Solve for x
    x = 4,470,818,395.25/82,747.76
  6. Step 6: Final answer
    x = 54,029.48

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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.