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Finding the Fourth Proportional to 96,546.70, 144,820.05 and 29,986.30

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Solution

The fourth proportional to 96,546.70, 144,820.05 and 29,986.30 is: 44,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546.70 : 144,820.05 = 29,986.30 : x
  2. Step 2: Convert to fraction form
    96,546.70/144,820.05 = 29,986.30/x
  3. Step 3: Cross multiply
    96,546.70x = 144,820.05 × 29,986.30
  4. Step 4: Simplify right side
    96,546.70x = 4,342,617,465.32
  5. Step 5: Solve for x
    x = 4,342,617,465.32/96,546.70
  6. Step 6: Final answer
    x = 44,979.45

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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.