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Finding the Fourth Proportional to 96,643.13, 144,929.95 and 33,446.10

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Solution

The fourth proportional to 96,643.13, 144,929.95 and 33,446.10 is: 50,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643.13 : 144,929.95 = 33,446.10 : x
  2. Step 2: Convert to fraction form
    96,643.13/144,929.95 = 33,446.10/x
  3. Step 3: Cross multiply
    96,643.13x = 144,929.95 × 33,446.10
  4. Step 4: Simplify right side
    96,643.13x = 4,847,341,600.70
  5. Step 5: Solve for x
    x = 4,847,341,600.70/96,643.13
  6. Step 6: Final answer
    x = 50,157.13

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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.