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Finding the Fourth Proportional to 38,095.20, 52,570.80 and 21,328.80

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Solution

The fourth proportional to 38,095.20, 52,570.80 and 21,328.80 is: 29,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,095.20 : 52,570.80 = 21,328.80 : x
  2. Step 2: Convert to fraction form
    38,095.20/52,570.80 = 21,328.80/x
  3. Step 3: Cross multiply
    38,095.20x = 52,570.80 × 21,328.80
  4. Step 4: Simplify right side
    38,095.20x = 1,121,272,079.04
  5. Step 5: Solve for x
    x = 1,121,272,079.04/38,095.20
  6. Step 6: Final answer
    x = 29,433.42

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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.