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Finding the Fourth Proportional to 65,180.16, 97,735.68 and 28,224

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Solution

The fourth proportional to 65,180.16, 97,735.68 and 28,224 is: 42,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,180.16 : 97,735.68 = 28,224 : x
  2. Step 2: Convert to fraction form
    65,180.16/97,735.68 = 28,224/x
  3. Step 3: Cross multiply
    65,180.16x = 97,735.68 × 28,224
  4. Step 4: Simplify right side
    65,180.16x = 2,758,491,832.32
  5. Step 5: Solve for x
    x = 2,758,491,832.32/65,180.16
  6. Step 6: Final answer
    x = 42,321.03

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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.