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Finding the Fourth Proportional to 38,615.74, 53,315.42 and 29,647.22

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Solution

The fourth proportional to 38,615.74, 53,315.42 and 29,647.22 is: 40,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,615.74 : 53,315.42 = 29,647.22 : x
  2. Step 2: Convert to fraction form
    38,615.74/53,315.42 = 29,647.22/x
  3. Step 3: Cross multiply
    38,615.74x = 53,315.42 × 29,647.22
  4. Step 4: Simplify right side
    38,615.74x = 1,580,653,571.32
  5. Step 5: Solve for x
    x = 1,580,653,571.32/38,615.74
  6. Step 6: Final answer
    x = 40,932.89

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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.