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Finding the Fourth Proportional to 29,185, 40,275.30 and 15,937

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Solution

The fourth proportional to 29,185, 40,275.30 and 15,937 is: 21,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,185 : 40,275.30 = 15,937 : x
  2. Step 2: Convert to fraction form
    29,185/40,275.30 = 15,937/x
  3. Step 3: Cross multiply
    29,185x = 40,275.30 × 15,937
  4. Step 4: Simplify right side
    29,185x = 641,867,456.10
  5. Step 5: Solve for x
    x = 641,867,456.10/29,185
  6. Step 6: Final answer
    x = 21,993.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.