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Finding the Fourth Proportional to 51,470.97, 77,218.95 and 16,410.60

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Solution

The fourth proportional to 51,470.97, 77,218.95 and 16,410.60 is: 24,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,470.97 : 77,218.95 = 16,410.60 : x
  2. Step 2: Convert to fraction form
    51,470.97/77,218.95 = 16,410.60/x
  3. Step 3: Cross multiply
    51,470.97x = 77,218.95 × 16,410.60
  4. Step 4: Simplify right side
    51,470.97x = 1,267,209,300.87
  5. Step 5: Solve for x
    x = 1,267,209,300.87/51,470.97
  6. Step 6: Final answer
    x = 24,619.88

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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.