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Finding the Fourth Proportional to 38,012, 52,456.64 and 25,466.72

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Solution

The fourth proportional to 38,012, 52,456.64 and 25,466.72 is: 35,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012 : 52,456.64 = 25,466.72 : x
  2. Step 2: Convert to fraction form
    38,012/52,456.64 = 25,466.72/x
  3. Step 3: Cross multiply
    38,012x = 52,456.64 × 25,466.72
  4. Step 4: Simplify right side
    38,012x = 1,335,898,563.02
  5. Step 5: Solve for x
    x = 1,335,898,563.02/38,012
  6. Step 6: Final answer
    x = 35,144.13

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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.