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Finding the Fourth Proportional to 53,645.16, 80,468.35 and 16,205.54

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Solution

The fourth proportional to 53,645.16, 80,468.35 and 16,205.54 is: 24,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,645.16 : 80,468.35 = 16,205.54 : x
  2. Step 2: Convert to fraction form
    53,645.16/80,468.35 = 16,205.54/x
  3. Step 3: Cross multiply
    53,645.16x = 80,468.35 × 16,205.54
  4. Step 4: Simplify right side
    53,645.16x = 1,304,033,225.32
  5. Step 5: Solve for x
    x = 1,304,033,225.32/53,645.16
  6. Step 6: Final answer
    x = 24,308.50

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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.