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Finding the Fourth Proportional to 37,854.52, 56,803.62 and 17,078

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Solution

The fourth proportional to 37,854.52, 56,803.62 and 17,078 is: 25,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854.52 : 56,803.62 = 17,078 : x
  2. Step 2: Convert to fraction form
    37,854.52/56,803.62 = 17,078/x
  3. Step 3: Cross multiply
    37,854.52x = 56,803.62 × 17,078
  4. Step 4: Simplify right side
    37,854.52x = 970,092,222.36
  5. Step 5: Solve for x
    x = 970,092,222.36/37,854.52
  6. Step 6: Final answer
    x = 25,626.85

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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.