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Finding the Fourth Proportional to 22,892.40, 31,971.60 and 22,892.40

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Solution

The fourth proportional to 22,892.40, 31,971.60 and 22,892.40 is: 31,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.40 : 31,971.60 = 22,892.40 : x
  2. Step 2: Convert to fraction form
    22,892.40/31,971.60 = 22,892.40/x
  3. Step 3: Cross multiply
    22,892.40x = 31,971.60 × 22,892.40
  4. Step 4: Simplify right side
    22,892.40x = 731,906,655.84
  5. Step 5: Solve for x
    x = 731,906,655.84/22,892.40
  6. Step 6: Final answer
    x = 31,971.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.