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Finding the Fourth Proportional to 96,141.68, 144,212.86 and 29,581.34

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Solution

The fourth proportional to 96,141.68, 144,212.86 and 29,581.34 is: 44,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,141.68 : 144,212.86 = 29,581.34 : x
  2. Step 2: Convert to fraction form
    96,141.68/144,212.86 = 29,581.34/x
  3. Step 3: Cross multiply
    96,141.68x = 144,212.86 × 29,581.34
  4. Step 4: Simplify right side
    96,141.68x = 4,266,009,644.03
  5. Step 5: Solve for x
    x = 4,266,009,644.03/96,141.68
  6. Step 6: Final answer
    x = 44,372.11

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1.5x scale

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.