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Finding the Fourth Proportional to 29,971.49, 41,357.71 and 16,541.88

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Solution

The fourth proportional to 29,971.49, 41,357.71 and 16,541.88 is: 22,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.49 : 41,357.71 = 16,541.88 : x
  2. Step 2: Convert to fraction form
    29,971.49/41,357.71 = 16,541.88/x
  3. Step 3: Cross multiply
    29,971.49x = 41,357.71 × 16,541.88
  4. Step 4: Simplify right side
    29,971.49x = 684,134,296.57
  5. Step 5: Solve for x
    x = 684,134,296.57/29,971.49
  6. Step 6: Final answer
    x = 22,826.17

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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.