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Finding the Fourth Proportional to 74,617.69, 111,938.69 and 22,032.49

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Solution

The fourth proportional to 74,617.69, 111,938.69 and 22,032.49 is: 33,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,617.69 : 111,938.69 = 22,032.49 : x
  2. Step 2: Convert to fraction form
    74,617.69/111,938.69 = 22,032.49/x
  3. Step 3: Cross multiply
    74,617.69x = 111,938.69 × 22,032.49
  4. Step 4: Simplify right side
    74,617.69x = 2,466,288,068.04
  5. Step 5: Solve for x
    x = 2,466,288,068.04/74,617.69
  6. Step 6: Final answer
    x = 33,052.32

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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.