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Finding the Fourth Proportional to 40,071.64, 55,294.98 and 22,164.16

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Solution

The fourth proportional to 40,071.64, 55,294.98 and 22,164.16 is: 30,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,071.64 : 55,294.98 = 22,164.16 : x
  2. Step 2: Convert to fraction form
    40,071.64/55,294.98 = 22,164.16/x
  3. Step 3: Cross multiply
    40,071.64x = 55,294.98 × 22,164.16
  4. Step 4: Simplify right side
    40,071.64x = 1,225,566,783.92
  5. Step 5: Solve for x
    x = 1,225,566,783.92/40,071.64
  6. Step 6: Final answer
    x = 30,584.39

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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.