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Finding the Fourth Proportional to 75,937.50, 113,906.25 and 20,533.50

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Solution

The fourth proportional to 75,937.50, 113,906.25 and 20,533.50 is: 30,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,937.50 : 113,906.25 = 20,533.50 : x
  2. Step 2: Convert to fraction form
    75,937.50/113,906.25 = 20,533.50/x
  3. Step 3: Cross multiply
    75,937.50x = 113,906.25 × 20,533.50
  4. Step 4: Simplify right side
    75,937.50x = 2,338,893,984.38
  5. Step 5: Solve for x
    x = 2,338,893,984.38/75,937.50
  6. Step 6: Final answer
    x = 30,800.25

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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.