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Finding the Fourth Proportional to 65,907.30, 98,791.16 and 21,522.14

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Solution

The fourth proportional to 65,907.30, 98,791.16 and 21,522.14 is: 32,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,907.30 : 98,791.16 = 21,522.14 : x
  2. Step 2: Convert to fraction form
    65,907.30/98,791.16 = 21,522.14/x
  3. Step 3: Cross multiply
    65,907.30x = 98,791.16 × 21,522.14
  4. Step 4: Simplify right side
    65,907.30x = 2,126,196,574.72
  5. Step 5: Solve for x
    x = 2,126,196,574.72/65,907.30
  6. Step 6: Final answer
    x = 32,260.41

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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.