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Finding the Fourth Proportional to 41,114.51, 61,671.77 and 9,949.76

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Solution

The fourth proportional to 41,114.51, 61,671.77 and 9,949.76 is: 14,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,114.51 : 61,671.77 = 9,949.76 : x
  2. Step 2: Convert to fraction form
    41,114.51/61,671.77 = 9,949.76/x
  3. Step 3: Cross multiply
    41,114.51x = 61,671.77 × 9,949.76
  4. Step 4: Simplify right side
    41,114.51x = 613,619,310.28
  5. Step 5: Solve for x
    x = 613,619,310.28/41,114.51
  6. Step 6: Final answer
    x = 14,924.64

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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.