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Finding the Fourth Proportional to 65,728.71, 98,592.99 and 15,808.77

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Solution

The fourth proportional to 65,728.71, 98,592.99 and 15,808.77 is: 23,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728.71 : 98,592.99 = 15,808.77 : x
  2. Step 2: Convert to fraction form
    65,728.71/98,592.99 = 15,808.77/x
  3. Step 3: Cross multiply
    65,728.71x = 98,592.99 × 15,808.77
  4. Step 4: Simplify right side
    65,728.71x = 1,558,633,902.52
  5. Step 5: Solve for x
    x = 1,558,633,902.52/65,728.71
  6. Step 6: Final answer
    x = 23,713.14

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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.