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Finding the Fourth Proportional to 37,585, 51,867.30 and 22,681

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Solution

The fourth proportional to 37,585, 51,867.30 and 22,681 is: 31,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,585 : 51,867.30 = 22,681 : x
  2. Step 2: Convert to fraction form
    37,585/51,867.30 = 22,681/x
  3. Step 3: Cross multiply
    37,585x = 51,867.30 × 22,681
  4. Step 4: Simplify right side
    37,585x = 1,176,402,231.30
  5. Step 5: Solve for x
    x = 1,176,402,231.30/37,585
  6. Step 6: Final answer
    x = 31,299.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.