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Finding the Fourth Proportional to 38,505.76, 53,138.16 and 22,590.52

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Solution

The fourth proportional to 38,505.76, 53,138.16 and 22,590.52 is: 31,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505.76 : 53,138.16 = 22,590.52 : x
  2. Step 2: Convert to fraction form
    38,505.76/53,138.16 = 22,590.52/x
  3. Step 3: Cross multiply
    38,505.76x = 53,138.16 × 22,590.52
  4. Step 4: Simplify right side
    38,505.76x = 1,200,418,666.24
  5. Step 5: Solve for x
    x = 1,200,418,666.24/38,505.76
  6. Step 6: Final answer
    x = 31,175.04

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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.