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Finding the Fourth Proportional to 75,493.80, 113,240.70 and 31,097.70

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Solution

The fourth proportional to 75,493.80, 113,240.70 and 31,097.70 is: 46,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,493.80 : 113,240.70 = 31,097.70 : x
  2. Step 2: Convert to fraction form
    75,493.80/113,240.70 = 31,097.70/x
  3. Step 3: Cross multiply
    75,493.80x = 113,240.70 × 31,097.70
  4. Step 4: Simplify right side
    75,493.80x = 3,521,525,316.39
  5. Step 5: Solve for x
    x = 3,521,525,316.39/75,493.80
  6. Step 6: Final answer
    x = 46,646.55

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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.