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Finding the Fourth Proportional to 84,692.51, 126,928.02 and 34,714.10

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Solution

The fourth proportional to 84,692.51, 126,928.02 and 34,714.10 is: 52,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,692.51 : 126,928.02 = 34,714.10 : x
  2. Step 2: Convert to fraction form
    84,692.51/126,928.02 = 34,714.10/x
  3. Step 3: Cross multiply
    84,692.51x = 126,928.02 × 34,714.10
  4. Step 4: Simplify right side
    84,692.51x = 4,406,191,979.08
  5. Step 5: Solve for x
    x = 4,406,191,979.08/84,692.51
  6. Step 6: Final answer
    x = 52,025.76

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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.