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Finding the Fourth Proportional to 29,954.52, 44,931.56 and 7,767.84

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Solution

The fourth proportional to 29,954.52, 44,931.56 and 7,767.84 is: 11,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954.52 : 44,931.56 = 7,767.84 : x
  2. Step 2: Convert to fraction form
    29,954.52/44,931.56 = 7,767.84/x
  3. Step 3: Cross multiply
    29,954.52x = 44,931.56 × 7,767.84
  4. Step 4: Simplify right side
    29,954.52x = 349,021,169.03
  5. Step 5: Solve for x
    x = 349,021,169.03/29,954.52
  6. Step 6: Final answer
    x = 11,651.70

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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.