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Finding the Fourth Proportional to 38,224.32, 52,748.58 and 21,228.12

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Solution

The fourth proportional to 38,224.32, 52,748.58 and 21,228.12 is: 29,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,224.32 : 52,748.58 = 21,228.12 : x
  2. Step 2: Convert to fraction form
    38,224.32/52,748.58 = 21,228.12/x
  3. Step 3: Cross multiply
    38,224.32x = 52,748.58 × 21,228.12
  4. Step 4: Simplify right side
    38,224.32x = 1,119,753,186.07
  5. Step 5: Solve for x
    x = 1,119,753,186.07/38,224.32
  6. Step 6: Final answer
    x = 29,294.26

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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.