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Finding the Fourth Proportional to 38,864.96, 53,633.76 and 22,098.08

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Solution

The fourth proportional to 38,864.96, 53,633.76 and 22,098.08 is: 30,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,864.96 : 53,633.76 = 22,098.08 : x
  2. Step 2: Convert to fraction form
    38,864.96/53,633.76 = 22,098.08/x
  3. Step 3: Cross multiply
    38,864.96x = 53,633.76 × 22,098.08
  4. Step 4: Simplify right side
    38,864.96x = 1,185,203,119.18
  5. Step 5: Solve for x
    x = 1,185,203,119.18/38,864.96
  6. Step 6: Final answer
    x = 30,495.42

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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.