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Finding the Fourth Proportional to 41,282.19, 56,969.15 and 22,419.32

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Solution

The fourth proportional to 41,282.19, 56,969.15 and 22,419.32 is: 30,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,282.19 : 56,969.15 = 22,419.32 : x
  2. Step 2: Convert to fraction form
    41,282.19/56,969.15 = 22,419.32/x
  3. Step 3: Cross multiply
    41,282.19x = 56,969.15 × 22,419.32
  4. Step 4: Simplify right side
    41,282.19x = 1,277,209,207.04
  5. Step 5: Solve for x
    x = 1,277,209,207.04/41,282.19
  6. Step 6: Final answer
    x = 30,938.50

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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.