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Finding the Fourth Proportional to 53,713.44, 74,124.54 and 29,842.38

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Solution

The fourth proportional to 53,713.44, 74,124.54 and 29,842.38 is: 41,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,713.44 : 74,124.54 = 29,842.38 : x
  2. Step 2: Convert to fraction form
    53,713.44/74,124.54 = 29,842.38/x
  3. Step 3: Cross multiply
    53,713.44x = 74,124.54 × 29,842.38
  4. Step 4: Simplify right side
    53,713.44x = 2,212,052,690.01
  5. Step 5: Solve for x
    x = 2,212,052,690.01/53,713.44
  6. Step 6: Final answer
    x = 41,182.48

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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.