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Finding the Fourth Proportional to 37,584, 51,865.92 and 22,680

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Solution

The fourth proportional to 37,584, 51,865.92 and 22,680 is: 31,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,584 : 51,865.92 = 22,680 : x
  2. Step 2: Convert to fraction form
    37,584/51,865.92 = 22,680/x
  3. Step 3: Cross multiply
    37,584x = 51,865.92 × 22,680
  4. Step 4: Simplify right side
    37,584x = 1,176,319,065.60
  5. Step 5: Solve for x
    x = 1,176,319,065.60/37,584
  6. Step 6: Final answer
    x = 31,298.40

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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.