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Finding the Fourth Proportional to 83,038.70, 124,537.80 and 23,868.20

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Solution

The fourth proportional to 83,038.70, 124,537.80 and 23,868.20 is: 35,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,038.70 : 124,537.80 = 23,868.20 : x
  2. Step 2: Convert to fraction form
    83,038.70/124,537.80 = 23,868.20/x
  3. Step 3: Cross multiply
    83,038.70x = 124,537.80 × 23,868.20
  4. Step 4: Simplify right side
    83,038.70x = 2,972,493,117.96
  5. Step 5: Solve for x
    x = 2,972,493,117.96/83,038.70
  6. Step 6: Final answer
    x = 35,796.48

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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.