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Finding the Fourth Proportional to 37,304.49, 51,483.92 and 27,856.65

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Solution

The fourth proportional to 37,304.49, 51,483.92 and 27,856.65 is: 38,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,304.49 : 51,483.92 = 27,856.65 : x
  2. Step 2: Convert to fraction form
    37,304.49/51,483.92 = 27,856.65/x
  3. Step 3: Cross multiply
    37,304.49x = 51,483.92 × 27,856.65
  4. Step 4: Simplify right side
    37,304.49x = 1,434,169,400.78
  5. Step 5: Solve for x
    x = 1,434,169,400.78/37,304.49
  6. Step 6: Final answer
    x = 38,444.95

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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.