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Finding the Fourth Proportional to 29,158, 43,509.49 and 26,016.40

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Solution

The fourth proportional to 29,158, 43,509.49 and 26,016.40 is: 38,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,158 : 43,509.49 = 26,016.40 : x
  2. Step 2: Convert to fraction form
    29,158/43,509.49 = 26,016.40/x
  3. Step 3: Cross multiply
    29,158x = 43,509.49 × 26,016.40
  4. Step 4: Simplify right side
    29,158x = 1,131,960,295.64
  5. Step 5: Solve for x
    x = 1,131,960,295.64/29,158
  6. Step 6: Final answer
    x = 38,821.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.