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Finding the Fourth Proportional to 29,484, 44,233.29 and 9,764.55

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Solution

The fourth proportional to 29,484, 44,233.29 and 9,764.55 is: 14,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484 : 44,233.29 = 9,764.55 : x
  2. Step 2: Convert to fraction form
    29,484/44,233.29 = 9,764.55/x
  3. Step 3: Cross multiply
    29,484x = 44,233.29 × 9,764.55
  4. Step 4: Simplify right side
    29,484x = 431,918,171.87
  5. Step 5: Solve for x
    x = 431,918,171.87/29,484
  6. Step 6: Final answer
    x = 14,649.24

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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.