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Finding the Fourth Proportional to 49,692.64, 74,538.96 and 34,062.88

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Solution

The fourth proportional to 49,692.64, 74,538.96 and 34,062.88 is: 51,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,692.64 : 74,538.96 = 34,062.88 : x
  2. Step 2: Convert to fraction form
    49,692.64/74,538.96 = 34,062.88/x
  3. Step 3: Cross multiply
    49,692.64x = 74,538.96 × 34,062.88
  4. Step 4: Simplify right side
    49,692.64x = 2,539,011,649.80
  5. Step 5: Solve for x
    x = 2,539,011,649.80/49,692.64
  6. Step 6: Final answer
    x = 51,094.32

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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.