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Finding the Fourth Proportional to 65,571, 98,356.86 and 16,323

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Solution

The fourth proportional to 65,571, 98,356.86 and 16,323 is: 24,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,571 : 98,356.86 = 16,323 : x
  2. Step 2: Convert to fraction form
    65,571/98,356.86 = 16,323/x
  3. Step 3: Cross multiply
    65,571x = 98,356.86 × 16,323
  4. Step 4: Simplify right side
    65,571x = 1,605,479,025.78
  5. Step 5: Solve for x
    x = 1,605,479,025.78/65,571
  6. Step 6: Final answer
    x = 24,484.59

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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.