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Finding the Fourth Proportional to 29,878.02, 44,806.02 and 10,151.28

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Solution

The fourth proportional to 29,878.02, 44,806.02 and 10,151.28 is: 15,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.02 : 44,806.02 = 10,151.28 : x
  2. Step 2: Convert to fraction form
    29,878.02/44,806.02 = 10,151.28/x
  3. Step 3: Cross multiply
    29,878.02x = 44,806.02 × 10,151.28
  4. Step 4: Simplify right side
    29,878.02x = 454,838,454.71
  5. Step 5: Solve for x
    x = 454,838,454.71/29,878.02
  6. Step 6: Final answer
    x = 15,223.18

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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.