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Finding the Fourth Proportional to 34,178.80, 51,252.78 and 14,447.20

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Solution

The fourth proportional to 34,178.80, 51,252.78 and 14,447.20 is: 21,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178.80 : 51,252.78 = 14,447.20 : x
  2. Step 2: Convert to fraction form
    34,178.80/51,252.78 = 14,447.20/x
  3. Step 3: Cross multiply
    34,178.80x = 51,252.78 × 14,447.20
  4. Step 4: Simplify right side
    34,178.80x = 740,459,163.22
  5. Step 5: Solve for x
    x = 740,459,163.22/34,178.80
  6. Step 6: Final answer
    x = 21,664.28

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1.5x scale

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.