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Finding the Fourth Proportional to 34,725.78, 52,079.22 and 9,764.28

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Solution

The fourth proportional to 34,725.78, 52,079.22 and 9,764.28 is: 14,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,725.78 : 52,079.22 = 9,764.28 : x
  2. Step 2: Convert to fraction form
    34,725.78/52,079.22 = 9,764.28/x
  3. Step 3: Cross multiply
    34,725.78x = 52,079.22 × 9,764.28
  4. Step 4: Simplify right side
    34,725.78x = 508,516,086.26
  5. Step 5: Solve for x
    x = 508,516,086.26/34,725.78
  6. Step 6: Final answer
    x = 14,643.76

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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.