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Finding the Fourth Proportional to 23,978.32, 35,871.10 and 20,726.32

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Solution

The fourth proportional to 23,978.32, 35,871.10 and 20,726.32 is: 31,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.32 : 35,871.10 = 20,726.32 : x
  2. Step 2: Convert to fraction form
    23,978.32/35,871.10 = 20,726.32/x
  3. Step 3: Cross multiply
    23,978.32x = 35,871.10 × 20,726.32
  4. Step 4: Simplify right side
    23,978.32x = 743,475,897.35
  5. Step 5: Solve for x
    x = 743,475,897.35/23,978.32
  6. Step 6: Final answer
    x = 31,006.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.