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Finding the Fourth Proportional to 133,764.90, 200,647.08 and 32,562.15

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Solution

The fourth proportional to 133,764.90, 200,647.08 and 32,562.15 is: 48,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,764.90 : 200,647.08 = 32,562.15 : x
  2. Step 2: Convert to fraction form
    133,764.90/200,647.08 = 32,562.15/x
  3. Step 3: Cross multiply
    133,764.90x = 200,647.08 × 32,562.15
  4. Step 4: Simplify right side
    133,764.90x = 6,533,500,316.02
  5. Step 5: Solve for x
    x = 6,533,500,316.02/133,764.90
  6. Step 6: Final answer
    x = 48,843.16

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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.