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Finding the Fourth Proportional to 65,614, 98,421.36 and 16,366

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Solution

The fourth proportional to 65,614, 98,421.36 and 16,366 is: 24,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,614 : 98,421.36 = 16,366 : x
  2. Step 2: Convert to fraction form
    65,614/98,421.36 = 16,366/x
  3. Step 3: Cross multiply
    65,614x = 98,421.36 × 16,366
  4. Step 4: Simplify right side
    65,614x = 1,610,763,977.76
  5. Step 5: Solve for x
    x = 1,610,763,977.76/65,614
  6. Step 6: Final answer
    x = 24,549.09

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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.