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Finding the Fourth Proportional to 37,149.83, 55,733.03 and 17,417.87

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Solution

The fourth proportional to 37,149.83, 55,733.03 and 17,417.87 is: 26,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.83 : 55,733.03 = 17,417.87 : x
  2. Step 2: Convert to fraction form
    37,149.83/55,733.03 = 17,417.87/x
  3. Step 3: Cross multiply
    37,149.83x = 55,733.03 × 17,417.87
  4. Step 4: Simplify right side
    37,149.83x = 970,750,584.16
  5. Step 5: Solve for x
    x = 970,750,584.16/37,149.83
  6. Step 6: Final answer
    x = 26,130.69

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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.