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Finding the Fourth Proportional to 38,243.48, 52,774.16 and 21,248.80

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Solution

The fourth proportional to 38,243.48, 52,774.16 and 21,248.80 is: 29,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,243.48 : 52,774.16 = 21,248.80 : x
  2. Step 2: Convert to fraction form
    38,243.48/52,774.16 = 21,248.80/x
  3. Step 3: Cross multiply
    38,243.48x = 52,774.16 × 21,248.80
  4. Step 4: Simplify right side
    38,243.48x = 1,121,387,571.01
  5. Step 5: Solve for x
    x = 1,121,387,571.01/38,243.48
  6. Step 6: Final answer
    x = 29,322.32

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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.