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Finding the Fourth Proportional to 82,158.08, 113,407.20 and 48,624

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Solution

The fourth proportional to 82,158.08, 113,407.20 and 48,624 is: 67,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,158.08 : 113,407.20 = 48,624 : x
  2. Step 2: Convert to fraction form
    82,158.08/113,407.20 = 48,624/x
  3. Step 3: Cross multiply
    82,158.08x = 113,407.20 × 48,624
  4. Step 4: Simplify right side
    82,158.08x = 5,514,311,692.80
  5. Step 5: Solve for x
    x = 5,514,311,692.80/82,158.08
  6. Step 6: Final answer
    x = 67,118.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.