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Finding the Fourth Proportional to 83,223.34, 124,831.77 and 45,857.50

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Solution

The fourth proportional to 83,223.34, 124,831.77 and 45,857.50 is: 68,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,223.34 : 124,831.77 = 45,857.50 : x
  2. Step 2: Convert to fraction form
    83,223.34/124,831.77 = 45,857.50/x
  3. Step 3: Cross multiply
    83,223.34x = 124,831.77 × 45,857.50
  4. Step 4: Simplify right side
    83,223.34x = 5,724,472,892.78
  5. Step 5: Solve for x
    x = 5,724,472,892.78/83,223.34
  6. Step 6: Final answer
    x = 68,784.46

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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.