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Finding the Fourth Proportional to 64,255.25, 96,368.06 and 24,278.48

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Solution

The fourth proportional to 64,255.25, 96,368.06 and 24,278.48 is: 36,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,255.25 : 96,368.06 = 24,278.48 : x
  2. Step 2: Convert to fraction form
    64,255.25/96,368.06 = 24,278.48/x
  3. Step 3: Cross multiply
    64,255.25x = 96,368.06 × 24,278.48
  4. Step 4: Simplify right side
    64,255.25x = 2,339,669,414.12
  5. Step 5: Solve for x
    x = 2,339,669,414.12/64,255.25
  6. Step 6: Final answer
    x = 36,412.12

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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.