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Finding the Fourth Proportional to 133,773.17, 200,657.75 and 32,572.17

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Solution

The fourth proportional to 133,773.17, 200,657.75 and 32,572.17 is: 48,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,773.17 : 200,657.75 = 32,572.17 : x
  2. Step 2: Convert to fraction form
    133,773.17/200,657.75 = 32,572.17/x
  3. Step 3: Cross multiply
    133,773.17x = 200,657.75 × 32,572.17
  4. Step 4: Simplify right side
    133,773.17x = 6,535,858,181.96
  5. Step 5: Solve for x
    x = 6,535,858,181.96/133,773.17
  6. Step 6: Final answer
    x = 48,857.77

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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.