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Finding the Fourth Proportional to 96,412.72, 144,611.78 and 29,853.40

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Solution

The fourth proportional to 96,412.72, 144,611.78 and 29,853.40 is: 44,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412.72 : 144,611.78 = 29,853.40 : x
  2. Step 2: Convert to fraction form
    96,412.72/144,611.78 = 29,853.40/x
  3. Step 3: Cross multiply
    96,412.72x = 144,611.78 × 29,853.40
  4. Step 4: Simplify right side
    96,412.72x = 4,317,153,313.05
  5. Step 5: Solve for x
    x = 4,317,153,313.05/96,412.72
  6. Step 6: Final answer
    x = 44,777.84

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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.