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Finding the Fourth Proportional to 23,034.51, 31,710.83 and 21,976.56

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Solution

The fourth proportional to 23,034.51, 31,710.83 and 21,976.56 is: 30,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.51 : 31,710.83 = 21,976.56 : x
  2. Step 2: Convert to fraction form
    23,034.51/31,710.83 = 21,976.56/x
  3. Step 3: Cross multiply
    23,034.51x = 31,710.83 × 21,976.56
  4. Step 4: Simplify right side
    23,034.51x = 696,894,848.26
  5. Step 5: Solve for x
    x = 696,894,848.26/23,034.51
  6. Step 6: Final answer
    x = 30,254.38

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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.