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Finding the Fourth Proportional to 38,423.85, 53,030.09 and 22,514.64

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Solution

The fourth proportional to 38,423.85, 53,030.09 and 22,514.64 is: 31,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.85 : 53,030.09 = 22,514.64 : x
  2. Step 2: Convert to fraction form
    38,423.85/53,030.09 = 22,514.64/x
  3. Step 3: Cross multiply
    38,423.85x = 53,030.09 × 22,514.64
  4. Step 4: Simplify right side
    38,423.85x = 1,193,953,385.52
  5. Step 5: Solve for x
    x = 1,193,953,385.52/38,423.85
  6. Step 6: Final answer
    x = 31,073.24

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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.