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Finding the Fourth Proportional to 120,124, 180,186.08 and 32,572

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Solution

The fourth proportional to 120,124, 180,186.08 and 32,572 is: 48,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,124 : 180,186.08 = 32,572 : x
  2. Step 2: Convert to fraction form
    120,124/180,186.08 = 32,572/x
  3. Step 3: Cross multiply
    120,124x = 180,186.08 × 32,572
  4. Step 4: Simplify right side
    120,124x = 5,869,020,997.76
  5. Step 5: Solve for x
    x = 5,869,020,997.76/120,124
  6. Step 6: Final answer
    x = 48,858.02

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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.