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Finding the Fourth Proportional to 82,831.14, 124,202.97 and 36,058.50

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Solution

The fourth proportional to 82,831.14, 124,202.97 and 36,058.50 is: 54,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,831.14 : 124,202.97 = 36,058.50 : x
  2. Step 2: Convert to fraction form
    82,831.14/124,202.97 = 36,058.50/x
  3. Step 3: Cross multiply
    82,831.14x = 124,202.97 × 36,058.50
  4. Step 4: Simplify right side
    82,831.14x = 4,478,572,793.75
  5. Step 5: Solve for x
    x = 4,478,572,793.75/82,831.14
  6. Step 6: Final answer
    x = 54,068.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.