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Finding the Fourth Proportional to 37,710.50, 56,568.44 and 11,417.29

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Solution

The fourth proportional to 37,710.50, 56,568.44 and 11,417.29 is: 17,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710.50 : 56,568.44 = 11,417.29 : x
  2. Step 2: Convert to fraction form
    37,710.50/56,568.44 = 11,417.29/x
  3. Step 3: Cross multiply
    37,710.50x = 56,568.44 × 11,417.29
  4. Step 4: Simplify right side
    37,710.50x = 645,858,171.45
  5. Step 5: Solve for x
    x = 645,858,171.45/37,710.50
  6. Step 6: Final answer
    x = 17,126.75

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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.