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Finding the Fourth Proportional to 65,566, 98,349.36 and 16,318

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Solution

The fourth proportional to 65,566, 98,349.36 and 16,318 is: 24,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,566 : 98,349.36 = 16,318 : x
  2. Step 2: Convert to fraction form
    65,566/98,349.36 = 16,318/x
  3. Step 3: Cross multiply
    65,566x = 98,349.36 × 16,318
  4. Step 4: Simplify right side
    65,566x = 1,604,864,856.48
  5. Step 5: Solve for x
    x = 1,604,864,856.48/65,566
  6. Step 6: Final answer
    x = 24,477.09

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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.