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Finding the Fourth Proportional to 37,952.88, 56,924 and 23,870

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Solution

The fourth proportional to 37,952.88, 56,924 and 23,870 is: 35,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,952.88 : 56,924 = 23,870 : x
  2. Step 2: Convert to fraction form
    37,952.88/56,924 = 23,870/x
  3. Step 3: Cross multiply
    37,952.88x = 56,924 × 23,870
  4. Step 4: Simplify right side
    37,952.88x = 1,358,775,880
  5. Step 5: Solve for x
    x = 1,358,775,880/37,952.88
  6. Step 6: Final answer
    x = 35,801.65

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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.