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Finding the Fourth Proportional to 65,339, 98,008.98 and 16,091

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Solution

The fourth proportional to 65,339, 98,008.98 and 16,091 is: 24,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,339 : 98,008.98 = 16,091 : x
  2. Step 2: Convert to fraction form
    65,339/98,008.98 = 16,091/x
  3. Step 3: Cross multiply
    65,339x = 98,008.98 × 16,091
  4. Step 4: Simplify right side
    65,339x = 1,577,062,497.18
  5. Step 5: Solve for x
    x = 1,577,062,497.18/65,339
  6. Step 6: Final answer
    x = 24,136.62

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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.