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Finding the Fourth Proportional to 38,080, 52,550.58 and 21,316.24

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Solution

The fourth proportional to 38,080, 52,550.58 and 21,316.24 is: 29,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080 : 52,550.58 = 21,316.24 : x
  2. Step 2: Convert to fraction form
    38,080/52,550.58 = 21,316.24/x
  3. Step 3: Cross multiply
    38,080x = 52,550.58 × 21,316.24
  4. Step 4: Simplify right side
    38,080x = 1,120,180,775.42
  5. Step 5: Solve for x
    x = 1,120,180,775.42/38,080
  6. Step 6: Final answer
    x = 29,416.51

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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.