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Finding the Fourth Proportional to 29,475.75, 44,176.03 and 12,831.31

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Solution

The fourth proportional to 29,475.75, 44,176.03 and 12,831.31 is: 19,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,475.75 : 44,176.03 = 12,831.31 : x
  2. Step 2: Convert to fraction form
    29,475.75/44,176.03 = 12,831.31/x
  3. Step 3: Cross multiply
    29,475.75x = 44,176.03 × 12,831.31
  4. Step 4: Simplify right side
    29,475.75x = 566,836,430.82
  5. Step 5: Solve for x
    x = 566,836,430.82/29,475.75
  6. Step 6: Final answer
    x = 19,230.60

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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.