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Finding the Fourth Proportional to 38,464.56, 53,081.88 and 21,697.56

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Solution

The fourth proportional to 38,464.56, 53,081.88 and 21,697.56 is: 29,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.56 : 53,081.88 = 21,697.56 : x
  2. Step 2: Convert to fraction form
    38,464.56/53,081.88 = 21,697.56/x
  3. Step 3: Cross multiply
    38,464.56x = 53,081.88 × 21,697.56
  4. Step 4: Simplify right side
    38,464.56x = 1,151,747,276.21
  5. Step 5: Solve for x
    x = 1,151,747,276.21/38,464.56
  6. Step 6: Final answer
    x = 29,943.08

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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.