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Finding the Fourth Proportional to 34,178.60, 51,268.02 and 16,633.40

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Solution

The fourth proportional to 34,178.60, 51,268.02 and 16,633.40 is: 24,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178.60 : 51,268.02 = 16,633.40 : x
  2. Step 2: Convert to fraction form
    34,178.60/51,268.02 = 16,633.40/x
  3. Step 3: Cross multiply
    34,178.60x = 51,268.02 × 16,633.40
  4. Step 4: Simplify right side
    34,178.60x = 852,761,483.87
  5. Step 5: Solve for x
    x = 852,761,483.87/34,178.60
  6. Step 6: Final answer
    x = 24,950.16

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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.