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Finding the Fourth Proportional to 65,424, 98,137.62 and 23,871

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Solution

The fourth proportional to 65,424, 98,137.62 and 23,871 is: 35,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,424 : 98,137.62 = 23,871 : x
  2. Step 2: Convert to fraction form
    65,424/98,137.62 = 23,871/x
  3. Step 3: Cross multiply
    65,424x = 98,137.62 × 23,871
  4. Step 4: Simplify right side
    65,424x = 2,342,643,127.02
  5. Step 5: Solve for x
    x = 2,342,643,127.02/65,424
  6. Step 6: Final answer
    x = 35,807.09

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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.