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Finding the Fourth Proportional to 133,589.97, 200,385.34 and 32,387.63

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Solution

The fourth proportional to 133,589.97, 200,385.34 and 32,387.63 is: 48,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,589.97 : 200,385.34 = 32,387.63 : x
  2. Step 2: Convert to fraction form
    133,589.97/200,385.34 = 32,387.63/x
  3. Step 3: Cross multiply
    133,589.97x = 200,385.34 × 32,387.63
  4. Step 4: Simplify right side
    133,589.97x = 6,490,005,848.16
  5. Step 5: Solve for x
    x = 6,490,005,848.16/133,589.97
  6. Step 6: Final answer
    x = 48,581.53

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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.