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Finding the Fourth Proportional to 40,978.32, 56,550 and 23,073.39

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Solution

The fourth proportional to 40,978.32, 56,550 and 23,073.39 is: 31,841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,978.32 : 56,550 = 23,073.39 : x
  2. Step 2: Convert to fraction form
    40,978.32/56,550 = 23,073.39/x
  3. Step 3: Cross multiply
    40,978.32x = 56,550 × 23,073.39
  4. Step 4: Simplify right side
    40,978.32x = 1,304,800,204.50
  5. Step 5: Solve for x
    x = 1,304,800,204.50/40,978.32
  6. Step 6: Final answer
    x = 31,841.23

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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.