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Finding the Fourth Proportional to 29,034.48, 40,074.84 and 17,850

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Solution

The fourth proportional to 29,034.48, 40,074.84 and 17,850 is: 24,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,034.48 : 40,074.84 = 17,850 : x
  2. Step 2: Convert to fraction form
    29,034.48/40,074.84 = 17,850/x
  3. Step 3: Cross multiply
    29,034.48x = 40,074.84 × 17,850
  4. Step 4: Simplify right side
    29,034.48x = 715,335,894.00
  5. Step 5: Solve for x
    x = 715,335,894.00/29,034.48
  6. Step 6: Final answer
    x = 24,637.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.