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Finding the Fourth Proportional to 37,718.70, 56,563.65 and 11,414.70

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Solution

The fourth proportional to 37,718.70, 56,563.65 and 11,414.70 is: 17,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,718.70 : 56,563.65 = 11,414.70 : x
  2. Step 2: Convert to fraction form
    37,718.70/56,563.65 = 11,414.70/x
  3. Step 3: Cross multiply
    37,718.70x = 56,563.65 × 11,414.70
  4. Step 4: Simplify right side
    37,718.70x = 645,657,095.66
  5. Step 5: Solve for x
    x = 645,657,095.66/37,718.70
  6. Step 6: Final answer
    x = 17,117.69

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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.