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Finding the Fourth Proportional to 29,971.77, 41,358.10 and 16,542.16

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Solution

The fourth proportional to 29,971.77, 41,358.10 and 16,542.16 is: 22,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.77 : 41,358.10 = 16,542.16 : x
  2. Step 2: Convert to fraction form
    29,971.77/41,358.10 = 16,542.16/x
  3. Step 3: Cross multiply
    29,971.77x = 41,358.10 × 16,542.16
  4. Step 4: Simplify right side
    29,971.77x = 684,152,162.75
  5. Step 5: Solve for x
    x = 684,152,162.75/29,971.77
  6. Step 6: Final answer
    x = 22,826.55

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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.