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Finding the Fourth Proportional to 65,012.16, 89,716.48 and 35,204.16

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Solution

The fourth proportional to 65,012.16, 89,716.48 and 35,204.16 is: 48,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,012.16 : 89,716.48 = 35,204.16 : x
  2. Step 2: Convert to fraction form
    65,012.16/89,716.48 = 35,204.16/x
  3. Step 3: Cross multiply
    65,012.16x = 89,716.48 × 35,204.16
  4. Step 4: Simplify right side
    65,012.16x = 3,158,393,316.56
  5. Step 5: Solve for x
    x = 3,158,393,316.56/65,012.16
  6. Step 6: Final answer
    x = 48,581.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.