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Finding the Fourth Proportional to 61,149.56, 91,718.19 and 16,780.77

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Solution

The fourth proportional to 61,149.56, 91,718.19 and 16,780.77 is: 25,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,149.56 : 91,718.19 = 16,780.77 : x
  2. Step 2: Convert to fraction form
    61,149.56/91,718.19 = 16,780.77/x
  3. Step 3: Cross multiply
    61,149.56x = 91,718.19 × 16,780.77
  4. Step 4: Simplify right side
    61,149.56x = 1,539,101,851.21
  5. Step 5: Solve for x
    x = 1,539,101,851.21/61,149.56
  6. Step 6: Final answer
    x = 25,169.47

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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.