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Finding the Fourth Proportional to 38,467.83, 53,113.72 and 24,863.92

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Solution

The fourth proportional to 38,467.83, 53,113.72 and 24,863.92 is: 34,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467.83 : 53,113.72 = 24,863.92 : x
  2. Step 2: Convert to fraction form
    38,467.83/53,113.72 = 24,863.92/x
  3. Step 3: Cross multiply
    38,467.83x = 53,113.72 × 24,863.92
  4. Step 4: Simplify right side
    38,467.83x = 1,320,615,284.98
  5. Step 5: Solve for x
    x = 1,320,615,284.98/38,467.83
  6. Step 6: Final answer
    x = 34,330.38

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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.