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Finding the Fourth Proportional to 53,642.42, 74,029.07 and 29,769.29

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Solution

The fourth proportional to 53,642.42, 74,029.07 and 29,769.29 is: 41,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.42 : 74,029.07 = 29,769.29 : x
  2. Step 2: Convert to fraction form
    53,642.42/74,029.07 = 29,769.29/x
  3. Step 3: Cross multiply
    53,642.42x = 74,029.07 × 29,769.29
  4. Step 4: Simplify right side
    53,642.42x = 2,203,792,853.26
  5. Step 5: Solve for x
    x = 2,203,792,853.26/53,642.42
  6. Step 6: Final answer
    x = 41,083.02

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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.