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Finding the Fourth Proportional to 92,953.50, 139,452.12 and 30,624

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Solution

The fourth proportional to 92,953.50, 139,452.12 and 30,624 is: 45,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,953.50 : 139,452.12 = 30,624 : x
  2. Step 2: Convert to fraction form
    92,953.50/139,452.12 = 30,624/x
  3. Step 3: Cross multiply
    92,953.50x = 139,452.12 × 30,624
  4. Step 4: Simplify right side
    92,953.50x = 4,270,581,722.88
  5. Step 5: Solve for x
    x = 4,270,581,722.88/92,953.50
  6. Step 6: Final answer
    x = 45,943.21

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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.