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Finding the Fourth Proportional to 38,204.32, 52,728.25 and 21,214.00

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Solution

The fourth proportional to 38,204.32, 52,728.25 and 21,214.00 is: 29,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.32 : 52,728.25 = 21,214.00 : x
  2. Step 2: Convert to fraction form
    38,204.32/52,728.25 = 21,214.00/x
  3. Step 3: Cross multiply
    38,204.32x = 52,728.25 × 21,214.00
  4. Step 4: Simplify right side
    38,204.32x = 1,118,576,831.86
  5. Step 5: Solve for x
    x = 1,118,576,831.86/38,204.32
  6. Step 6: Final answer
    x = 29,278.80

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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.