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Finding the Fourth Proportional to 38,950.86, 53,751.92 and 23,034.97

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Solution

The fourth proportional to 38,950.86, 53,751.92 and 23,034.97 is: 31,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,950.86 : 53,751.92 = 23,034.97 : x
  2. Step 2: Convert to fraction form
    38,950.86/53,751.92 = 23,034.97/x
  3. Step 3: Cross multiply
    38,950.86x = 53,751.92 × 23,034.97
  4. Step 4: Simplify right side
    38,950.86x = 1,238,173,864.64
  5. Step 5: Solve for x
    x = 1,238,173,864.64/38,950.86
  6. Step 6: Final answer
    x = 31,788.10

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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.