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Finding the Fourth Proportional to 66,876.54, 100,298.72 and 19,478.78

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Solution

The fourth proportional to 66,876.54, 100,298.72 and 19,478.78 is: 29,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,876.54 : 100,298.72 = 19,478.78 : x
  2. Step 2: Convert to fraction form
    66,876.54/100,298.72 = 19,478.78/x
  3. Step 3: Cross multiply
    66,876.54x = 100,298.72 × 19,478.78
  4. Step 4: Simplify right side
    66,876.54x = 1,953,696,701.16
  5. Step 5: Solve for x
    x = 1,953,696,701.16/66,876.54
  6. Step 6: Final answer
    x = 29,213.48

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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.