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Finding the Fourth Proportional to 38,311.98, 52,864.74 and 21,541.74

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Solution

The fourth proportional to 38,311.98, 52,864.74 and 21,541.74 is: 29,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,311.98 : 52,864.74 = 21,541.74 : x
  2. Step 2: Convert to fraction form
    38,311.98/52,864.74 = 21,541.74/x
  3. Step 3: Cross multiply
    38,311.98x = 52,864.74 × 21,541.74
  4. Step 4: Simplify right side
    38,311.98x = 1,138,798,484.25
  5. Step 5: Solve for x
    x = 1,138,798,484.25/38,311.98
  6. Step 6: Final answer
    x = 29,724.34

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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.