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Finding the Fourth Proportional to 65,454.16, 98,152.08 and 23,872

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Solution

The fourth proportional to 65,454.16, 98,152.08 and 23,872 is: 35,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454.16 : 98,152.08 = 23,872 : x
  2. Step 2: Convert to fraction form
    65,454.16/98,152.08 = 23,872/x
  3. Step 3: Cross multiply
    65,454.16x = 98,152.08 × 23,872
  4. Step 4: Simplify right side
    65,454.16x = 2,343,086,453.76
  5. Step 5: Solve for x
    x = 2,343,086,453.76/65,454.16
  6. Step 6: Final answer
    x = 35,797.36

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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.