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Finding the Fourth Proportional to 96,100.68, 144,164.80 and 29,546.40

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Solution

The fourth proportional to 96,100.68, 144,164.80 and 29,546.40 is: 44,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,100.68 : 144,164.80 = 29,546.40 : x
  2. Step 2: Convert to fraction form
    96,100.68/144,164.80 = 29,546.40/x
  3. Step 3: Cross multiply
    96,100.68x = 144,164.80 × 29,546.40
  4. Step 4: Simplify right side
    96,100.68x = 4,259,550,846.72
  5. Step 5: Solve for x
    x = 4,259,550,846.72/96,100.68
  6. Step 6: Final answer
    x = 44,323.84

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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.