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Finding the Fourth Proportional to 29,831.28, 44,746.71 and 10,123.71

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Solution

The fourth proportional to 29,831.28, 44,746.71 and 10,123.71 is: 15,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.28 : 44,746.71 = 10,123.71 : x
  2. Step 2: Convert to fraction form
    29,831.28/44,746.71 = 10,123.71/x
  3. Step 3: Cross multiply
    29,831.28x = 44,746.71 × 10,123.71
  4. Step 4: Simplify right side
    29,831.28x = 453,002,715.49
  5. Step 5: Solve for x
    x = 453,002,715.49/29,831.28
  6. Step 6: Final answer
    x = 15,185.49

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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.