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Finding the Fourth Proportional to 29,913.64, 44,870.46 and 14,113.47

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Solution

The fourth proportional to 29,913.64, 44,870.46 and 14,113.47 is: 21,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913.64 : 44,870.46 = 14,113.47 : x
  2. Step 2: Convert to fraction form
    29,913.64/44,870.46 = 14,113.47/x
  3. Step 3: Cross multiply
    29,913.64x = 44,870.46 × 14,113.47
  4. Step 4: Simplify right side
    29,913.64x = 633,278,006.43
  5. Step 5: Solve for x
    x = 633,278,006.43/29,913.64
  6. Step 6: Final answer
    x = 21,170.21

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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.