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Finding the Fourth Proportional to 38,022.06, 52,472.16 and 21,255.06

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Solution

The fourth proportional to 38,022.06, 52,472.16 and 21,255.06 is: 29,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022.06 : 52,472.16 = 21,255.06 : x
  2. Step 2: Convert to fraction form
    38,022.06/52,472.16 = 21,255.06/x
  3. Step 3: Cross multiply
    38,022.06x = 52,472.16 × 21,255.06
  4. Step 4: Simplify right side
    38,022.06x = 1,115,298,909.13
  5. Step 5: Solve for x
    x = 1,115,298,909.13/38,022.06
  6. Step 6: Final answer
    x = 29,332.94

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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.