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Finding the Fourth Proportional to 72,860.42, 109,294.95 and 22,942.10

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Solution

The fourth proportional to 72,860.42, 109,294.95 and 22,942.10 is: 34,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,860.42 : 109,294.95 = 22,942.10 : x
  2. Step 2: Convert to fraction form
    72,860.42/109,294.95 = 22,942.10/x
  3. Step 3: Cross multiply
    72,860.42x = 109,294.95 × 22,942.10
  4. Step 4: Simplify right side
    72,860.42x = 2,507,455,672.40
  5. Step 5: Solve for x
    x = 2,507,455,672.40/72,860.42
  6. Step 6: Final answer
    x = 34,414.51

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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.