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Finding the Fourth Proportional to 82,838.70, 124,237.20 and 23,674.68

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Solution

The fourth proportional to 82,838.70, 124,237.20 and 23,674.68 is: 35,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,838.70 : 124,237.20 = 23,674.68 : x
  2. Step 2: Convert to fraction form
    82,838.70/124,237.20 = 23,674.68/x
  3. Step 3: Cross multiply
    82,838.70x = 124,237.20 × 23,674.68
  4. Step 4: Simplify right side
    82,838.70x = 2,941,275,954.10
  5. Step 5: Solve for x
    x = 2,941,275,954.10/82,838.70
  6. Step 6: Final answer
    x = 35,506.06

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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.