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Finding the Fourth Proportional to 29,642.29, 44,478.77 and 13,014

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Solution

The fourth proportional to 29,642.29, 44,478.77 and 13,014 is: 19,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.29 : 44,478.77 = 13,014 : x
  2. Step 2: Convert to fraction form
    29,642.29/44,478.77 = 13,014/x
  3. Step 3: Cross multiply
    29,642.29x = 44,478.77 × 13,014
  4. Step 4: Simplify right side
    29,642.29x = 578,846,712.78
  5. Step 5: Solve for x
    x = 578,846,712.78/29,642.29
  6. Step 6: Final answer
    x = 19,527.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.