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Finding the Fourth Proportional to 38,765.90, 53,508.48 and 22,855.52

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Solution

The fourth proportional to 38,765.90, 53,508.48 and 22,855.52 is: 31,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,765.90 : 53,508.48 = 22,855.52 : x
  2. Step 2: Convert to fraction form
    38,765.90/53,508.48 = 22,855.52/x
  3. Step 3: Cross multiply
    38,765.90x = 53,508.48 × 22,855.52
  4. Step 4: Simplify right side
    38,765.90x = 1,222,964,134.81
  5. Step 5: Solve for x
    x = 1,222,964,134.81/38,765.90
  6. Step 6: Final answer
    x = 31,547.42

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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.