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Finding the Fourth Proportional to 65,600, 98,400.36 and 16,352

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Solution

The fourth proportional to 65,600, 98,400.36 and 16,352 is: 24,528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,600 : 98,400.36 = 16,352 : x
  2. Step 2: Convert to fraction form
    65,600/98,400.36 = 16,352/x
  3. Step 3: Cross multiply
    65,600x = 98,400.36 × 16,352
  4. Step 4: Simplify right side
    65,600x = 1,609,042,686.72
  5. Step 5: Solve for x
    x = 1,609,042,686.72/65,600
  6. Step 6: Final answer
    x = 24,528.09

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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.