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Finding the Fourth Proportional to 54,692.69, 75,478.43 and 30,820.37

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Solution

The fourth proportional to 54,692.69, 75,478.43 and 30,820.37 is: 42,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,692.69 : 75,478.43 = 30,820.37 : x
  2. Step 2: Convert to fraction form
    54,692.69/75,478.43 = 30,820.37/x
  3. Step 3: Cross multiply
    54,692.69x = 75,478.43 × 30,820.37
  4. Step 4: Simplify right side
    54,692.69x = 2,326,272,839.28
  5. Step 5: Solve for x
    x = 2,326,272,839.28/54,692.69
  6. Step 6: Final answer
    x = 42,533.53

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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.