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Finding the Fourth Proportional to 53,409, 80,126.46 and 16,473

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Solution

The fourth proportional to 53,409, 80,126.46 and 16,473 is: 24,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,409 : 80,126.46 = 16,473 : x
  2. Step 2: Convert to fraction form
    53,409/80,126.46 = 16,473/x
  3. Step 3: Cross multiply
    53,409x = 80,126.46 × 16,473
  4. Step 4: Simplify right side
    53,409x = 1,319,923,175.58
  5. Step 5: Solve for x
    x = 1,319,923,175.58/53,409
  6. Step 6: Final answer
    x = 24,713.50

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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.