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Finding the Fourth Proportional to 75,333, 103,959.46 and 41,341.68

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Solution

The fourth proportional to 75,333, 103,959.46 and 41,341.68 is: 57,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,333 : 103,959.46 = 41,341.68 : x
  2. Step 2: Convert to fraction form
    75,333/103,959.46 = 41,341.68/x
  3. Step 3: Cross multiply
    75,333x = 103,959.46 × 41,341.68
  4. Step 4: Simplify right side
    75,333x = 4,297,858,728.29
  5. Step 5: Solve for x
    x = 4,297,858,728.29/75,333
  6. Step 6: Final answer
    x = 57,051.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.