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Finding the Fourth Proportional to 65,333.72, 98,028.15 and 35,716.96

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Solution

The fourth proportional to 65,333.72, 98,028.15 and 35,716.96 is: 53,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,333.72 : 98,028.15 = 35,716.96 : x
  2. Step 2: Convert to fraction form
    65,333.72/98,028.15 = 35,716.96/x
  3. Step 3: Cross multiply
    65,333.72x = 98,028.15 × 35,716.96
  4. Step 4: Simplify right side
    65,333.72x = 3,501,266,949.61
  5. Step 5: Solve for x
    x = 3,501,266,949.61/65,333.72
  6. Step 6: Final answer
    x = 53,590.50

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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.