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Finding the Fourth Proportional to 65,355, 97,907.51 and 44,191.17

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Solution

The fourth proportional to 65,355, 97,907.51 and 44,191.17 is: 66,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,355 : 97,907.51 = 44,191.17 : x
  2. Step 2: Convert to fraction form
    65,355/97,907.51 = 44,191.17/x
  3. Step 3: Cross multiply
    65,355x = 97,907.51 × 44,191.17
  4. Step 4: Simplify right side
    65,355x = 4,326,647,418.69
  5. Step 5: Solve for x
    x = 4,326,647,418.69/65,355
  6. Step 6: Final answer
    x = 66,202.24

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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.