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Finding the Fourth Proportional to 38,442.25, 53,037.95 and 30,350.35

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Solution

The fourth proportional to 38,442.25, 53,037.95 and 30,350.35 is: 41,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.25 : 53,037.95 = 30,350.35 : x
  2. Step 2: Convert to fraction form
    38,442.25/53,037.95 = 30,350.35/x
  3. Step 3: Cross multiply
    38,442.25x = 53,037.95 × 30,350.35
  4. Step 4: Simplify right side
    38,442.25x = 1,609,720,345.78
  5. Step 5: Solve for x
    x = 1,609,720,345.78/38,442.25
  6. Step 6: Final answer
    x = 41,873.73

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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.