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Finding the Fourth Proportional to 29,773.68, 44,667 and 10,051.40

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Solution

The fourth proportional to 29,773.68, 44,667 and 10,051.40 is: 15,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,773.68 : 44,667 = 10,051.40 : x
  2. Step 2: Convert to fraction form
    29,773.68/44,667 = 10,051.40/x
  3. Step 3: Cross multiply
    29,773.68x = 44,667 × 10,051.40
  4. Step 4: Simplify right side
    29,773.68x = 448,965,660.47
  5. Step 5: Solve for x
    x = 448,965,660.47/29,773.68
  6. Step 6: Final answer
    x = 15,079.28

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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.