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Finding the Fourth Proportional to 38,005.65, 52,445.75 and 21,008.88

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Solution

The fourth proportional to 38,005.65, 52,445.75 and 21,008.88 is: 28,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.65 : 52,445.75 = 21,008.88 : x
  2. Step 2: Convert to fraction form
    38,005.65/52,445.75 = 21,008.88/x
  3. Step 3: Cross multiply
    38,005.65x = 52,445.75 × 21,008.88
  4. Step 4: Simplify right side
    38,005.65x = 1,101,826,363.22
  5. Step 5: Solve for x
    x = 1,101,826,363.22/38,005.65
  6. Step 6: Final answer
    x = 28,991.12

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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.