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Finding the Fourth Proportional to 71,263.94, 106,865.84 and 21,351.14

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Solution

The fourth proportional to 71,263.94, 106,865.84 and 21,351.14 is: 32,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,263.94 : 106,865.84 = 21,351.14 : x
  2. Step 2: Convert to fraction form
    71,263.94/106,865.84 = 21,351.14/x
  3. Step 3: Cross multiply
    71,263.94x = 106,865.84 × 21,351.14
  4. Step 4: Simplify right side
    71,263.94x = 2,281,707,030.11
  5. Step 5: Solve for x
    x = 2,281,707,030.11/71,263.94
  6. Step 6: Final answer
    x = 32,017.69

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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.