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Finding the Fourth Proportional to 133,715.79, 200,572.16 and 32,514.41

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Solution

The fourth proportional to 133,715.79, 200,572.16 and 32,514.41 is: 48,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,715.79 : 200,572.16 = 32,514.41 : x
  2. Step 2: Convert to fraction form
    133,715.79/200,572.16 = 32,514.41/x
  3. Step 3: Cross multiply
    133,715.79x = 200,572.16 × 32,514.41
  4. Step 4: Simplify right side
    133,715.79x = 6,521,485,905.61
  5. Step 5: Solve for x
    x = 6,521,485,905.61/133,715.79
  6. Step 6: Final answer
    x = 48,771.25

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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.