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Finding the Fourth Proportional to 83,235.40, 124,853.10 and 27,831.40

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Solution

The fourth proportional to 83,235.40, 124,853.10 and 27,831.40 is: 41,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,235.40 : 124,853.10 = 27,831.40 : x
  2. Step 2: Convert to fraction form
    83,235.40/124,853.10 = 27,831.40/x
  3. Step 3: Cross multiply
    83,235.40x = 124,853.10 × 27,831.40
  4. Step 4: Simplify right side
    83,235.40x = 3,474,836,567.34
  5. Step 5: Solve for x
    x = 3,474,836,567.34/83,235.40
  6. Step 6: Final answer
    x = 41,747.10

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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.