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Finding the Fourth Proportional to 72,870.94, 109,310.30 and 22,954.95

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Solution

The fourth proportional to 72,870.94, 109,310.30 and 22,954.95 is: 34,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,870.94 : 109,310.30 = 22,954.95 : x
  2. Step 2: Convert to fraction form
    72,870.94/109,310.30 = 22,954.95/x
  3. Step 3: Cross multiply
    72,870.94x = 109,310.30 × 22,954.95
  4. Step 4: Simplify right side
    72,870.94x = 2,509,212,470.99
  5. Step 5: Solve for x
    x = 2,509,212,470.99/72,870.94
  6. Step 6: Final answer
    x = 34,433.65

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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.