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Finding the Fourth Proportional to 32,069.50, 48,104.97 and 11,009.50

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Solution

The fourth proportional to 32,069.50, 48,104.97 and 11,009.50 is: 16,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.50 : 48,104.97 = 11,009.50 : x
  2. Step 2: Convert to fraction form
    32,069.50/48,104.97 = 11,009.50/x
  3. Step 3: Cross multiply
    32,069.50x = 48,104.97 × 11,009.50
  4. Step 4: Simplify right side
    32,069.50x = 529,611,667.22
  5. Step 5: Solve for x
    x = 529,611,667.22/32,069.50
  6. Step 6: Final answer
    x = 16,514.50

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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.