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Finding the Fourth Proportional to 63,564, 87,718.24 and 34,883.84

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Solution

The fourth proportional to 63,564, 87,718.24 and 34,883.84 is: 48,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,564 : 87,718.24 = 34,883.84 : x
  2. Step 2: Convert to fraction form
    63,564/87,718.24 = 34,883.84/x
  3. Step 3: Cross multiply
    63,564x = 87,718.24 × 34,883.84
  4. Step 4: Simplify right side
    63,564x = 3,059,949,049.24
  5. Step 5: Solve for x
    x = 3,059,949,049.24/63,564
  6. Step 6: Final answer
    x = 48,139.66

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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.