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Finding the Fourth Proportional to 38,404.32, 53,002.88 and 23,299.52

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Solution

The fourth proportional to 38,404.32, 53,002.88 and 23,299.52 is: 32,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404.32 : 53,002.88 = 23,299.52 : x
  2. Step 2: Convert to fraction form
    38,404.32/53,002.88 = 23,299.52/x
  3. Step 3: Cross multiply
    38,404.32x = 53,002.88 × 23,299.52
  4. Step 4: Simplify right side
    38,404.32x = 1,234,941,662.62
  5. Step 5: Solve for x
    x = 1,234,941,662.62/38,404.32
  6. Step 6: Final answer
    x = 32,156.32

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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.