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Finding the Fourth Proportional to 96,647.68, 144,913.24 and 43,330

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Solution

The fourth proportional to 96,647.68, 144,913.24 and 43,330 is: 64,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,647.68 : 144,913.24 = 43,330 : x
  2. Step 2: Convert to fraction form
    96,647.68/144,913.24 = 43,330/x
  3. Step 3: Cross multiply
    96,647.68x = 144,913.24 × 43,330
  4. Step 4: Simplify right side
    96,647.68x = 6,279,090,689.20
  5. Step 5: Solve for x
    x = 6,279,090,689.20/96,647.68
  6. Step 6: Final answer
    x = 64,968.87

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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.