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Finding the Fourth Proportional to 96,649.68, 144,916.24 and 43,332

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Solution

The fourth proportional to 96,649.68, 144,916.24 and 43,332 is: 64,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,649.68 : 144,916.24 = 43,332 : x
  2. Step 2: Convert to fraction form
    96,649.68/144,916.24 = 43,332/x
  3. Step 3: Cross multiply
    96,649.68x = 144,916.24 × 43,332
  4. Step 4: Simplify right side
    96,649.68x = 6,279,510,511.68
  5. Step 5: Solve for x
    x = 6,279,510,511.68/96,649.68
  6. Step 6: Final answer
    x = 64,971.87

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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.