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Finding the Fourth Proportional to 29,364.66, 44,049.78 and 9,643.32

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Solution

The fourth proportional to 29,364.66, 44,049.78 and 9,643.32 is: 14,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,364.66 : 44,049.78 = 9,643.32 : x
  2. Step 2: Convert to fraction form
    29,364.66/44,049.78 = 9,643.32/x
  3. Step 3: Cross multiply
    29,364.66x = 44,049.78 × 9,643.32
  4. Step 4: Simplify right side
    29,364.66x = 424,786,124.47
  5. Step 5: Solve for x
    x = 424,786,124.47/29,364.66
  6. Step 6: Final answer
    x = 14,465.90

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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.