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Finding the Fourth Proportional to 83,211.48, 114,831.90 and 45,485.73

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Solution

The fourth proportional to 83,211.48, 114,831.90 and 45,485.73 is: 62,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,211.48 : 114,831.90 = 45,485.73 : x
  2. Step 2: Convert to fraction form
    83,211.48/114,831.90 = 45,485.73/x
  3. Step 3: Cross multiply
    83,211.48x = 114,831.90 × 45,485.73
  4. Step 4: Simplify right side
    83,211.48x = 5,223,212,798.79
  5. Step 5: Solve for x
    x = 5,223,212,798.79/83,211.48
  6. Step 6: Final answer
    x = 62,770.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.