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Finding the Fourth Proportional to 38,509.20, 53,147.30 and 23,404.32

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Solution

The fourth proportional to 38,509.20, 53,147.30 and 23,404.32 is: 32,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509.20 : 53,147.30 = 23,404.32 : x
  2. Step 2: Convert to fraction form
    38,509.20/53,147.30 = 23,404.32/x
  3. Step 3: Cross multiply
    38,509.20x = 53,147.30 × 23,404.32
  4. Step 4: Simplify right side
    38,509.20x = 1,243,876,416.34
  5. Step 5: Solve for x
    x = 1,243,876,416.34/38,509.20
  6. Step 6: Final answer
    x = 32,300.76

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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.