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Finding the Fourth Proportional to 64,213.16, 96,189.18 and 52,409

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Solution

The fourth proportional to 64,213.16, 96,189.18 and 52,409 is: 78,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,213.16 : 96,189.18 = 52,409 : x
  2. Step 2: Convert to fraction form
    64,213.16/96,189.18 = 52,409/x
  3. Step 3: Cross multiply
    64,213.16x = 96,189.18 × 52,409
  4. Step 4: Simplify right side
    64,213.16x = 5,041,178,734.62
  5. Step 5: Solve for x
    x = 5,041,178,734.62/64,213.16
  6. Step 6: Final answer
    x = 78,506.94

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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.