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Finding the Fourth Proportional to 38,563.48, 53,209.02 and 23,464

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Solution

The fourth proportional to 38,563.48, 53,209.02 and 23,464 is: 32,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,563.48 : 53,209.02 = 23,464 : x
  2. Step 2: Convert to fraction form
    38,563.48/53,209.02 = 23,464/x
  3. Step 3: Cross multiply
    38,563.48x = 53,209.02 × 23,464
  4. Step 4: Simplify right side
    38,563.48x = 1,248,496,445.28
  5. Step 5: Solve for x
    x = 1,248,496,445.28/38,563.48
  6. Step 6: Final answer
    x = 32,375.10

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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.