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Finding the Fourth Proportional to 55,009.74, 75,913.53 and 29,859.24

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Solution

The fourth proportional to 55,009.74, 75,913.53 and 29,859.24 is: 41,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009.74 : 75,913.53 = 29,859.24 : x
  2. Step 2: Convert to fraction form
    55,009.74/75,913.53 = 29,859.24/x
  3. Step 3: Cross multiply
    55,009.74x = 75,913.53 × 29,859.24
  4. Step 4: Simplify right side
    55,009.74x = 2,266,720,311.52
  5. Step 5: Solve for x
    x = 2,266,720,311.52/55,009.74
  6. Step 6: Final answer
    x = 41,205.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.