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Finding the Fourth Proportional to 65,424.72, 98,127.36 and 23,862

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Solution

The fourth proportional to 65,424.72, 98,127.36 and 23,862 is: 35,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,424.72 : 98,127.36 = 23,862 : x
  2. Step 2: Convert to fraction form
    65,424.72/98,127.36 = 23,862/x
  3. Step 3: Cross multiply
    65,424.72x = 98,127.36 × 23,862
  4. Step 4: Simplify right side
    65,424.72x = 2,341,515,064.32
  5. Step 5: Solve for x
    x = 2,341,515,064.32/65,424.72
  6. Step 6: Final answer
    x = 35,789.45

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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.