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Finding the Fourth Proportional to 29,474.69, 40,605.91 and 20,506.77

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Solution

The fourth proportional to 29,474.69, 40,605.91 and 20,506.77 is: 28,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,474.69 : 40,605.91 = 20,506.77 : x
  2. Step 2: Convert to fraction form
    29,474.69/40,605.91 = 20,506.77/x
  3. Step 3: Cross multiply
    29,474.69x = 40,605.91 × 20,506.77
  4. Step 4: Simplify right side
    29,474.69x = 832,696,005.74
  5. Step 5: Solve for x
    x = 832,696,005.74/29,474.69
  6. Step 6: Final answer
    x = 28,251.23

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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.