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Finding the Fourth Proportional to 120,176, 180,264.48 and 32,624

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Solution

The fourth proportional to 120,176, 180,264.48 and 32,624 is: 48,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,176 : 180,264.48 = 32,624 : x
  2. Step 2: Convert to fraction form
    120,176/180,264.48 = 32,624/x
  3. Step 3: Cross multiply
    120,176x = 180,264.48 × 32,624
  4. Step 4: Simplify right side
    120,176x = 5,880,948,395.52
  5. Step 5: Solve for x
    x = 5,880,948,395.52/120,176
  6. Step 6: Final answer
    x = 48,936.13

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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.