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Finding the Fourth Proportional to 75,203.97, 103,742.64 and 50,996.74

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Solution

The fourth proportional to 75,203.97, 103,742.64 and 50,996.74 is: 70,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,203.97 : 103,742.64 = 50,996.74 : x
  2. Step 2: Convert to fraction form
    75,203.97/103,742.64 = 50,996.74/x
  3. Step 3: Cross multiply
    75,203.97x = 103,742.64 × 50,996.74
  4. Step 4: Simplify right side
    75,203.97x = 5,290,536,438.99
  5. Step 5: Solve for x
    x = 5,290,536,438.99/75,203.97
  6. Step 6: Final answer
    x = 70,349.16

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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.