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Finding the Fourth Proportional to 49,001.46, 67,620 and 27,780.30

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Solution

The fourth proportional to 49,001.46, 67,620 and 27,780.30 is: 38,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,001.46 : 67,620 = 27,780.30 : x
  2. Step 2: Convert to fraction form
    49,001.46/67,620 = 27,780.30/x
  3. Step 3: Cross multiply
    49,001.46x = 67,620 × 27,780.30
  4. Step 4: Simplify right side
    49,001.46x = 1,878,503,886
  5. Step 5: Solve for x
    x = 1,878,503,886/49,001.46
  6. Step 6: Final answer
    x = 38,335.67

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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.