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Finding the Fourth Proportional to 49,689.60, 74,514.60 and 16,400.40

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Solution

The fourth proportional to 49,689.60, 74,514.60 and 16,400.40 is: 24,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,689.60 : 74,514.60 = 16,400.40 : x
  2. Step 2: Convert to fraction form
    49,689.60/74,514.60 = 16,400.40/x
  3. Step 3: Cross multiply
    49,689.60x = 74,514.60 × 16,400.40
  4. Step 4: Simplify right side
    49,689.60x = 1,222,069,245.84
  5. Step 5: Solve for x
    x = 1,222,069,245.84/49,689.60
  6. Step 6: Final answer
    x = 24,594.06

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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.