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Finding the Fourth Proportional to 83,297.85, 114,831.46 and 59,383.01

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Solution

The fourth proportional to 83,297.85, 114,831.46 and 59,383.01 is: 81,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,297.85 : 114,831.46 = 59,383.01 : x
  2. Step 2: Convert to fraction form
    83,297.85/114,831.46 = 59,383.01/x
  3. Step 3: Cross multiply
    83,297.85x = 114,831.46 × 59,383.01
  4. Step 4: Simplify right side
    83,297.85x = 6,819,037,737.49
  5. Step 5: Solve for x
    x = 6,819,037,737.49/83,297.85
  6. Step 6: Final answer
    x = 81,863.31

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Why These Related Problems?

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