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Finding the Fourth Proportional to 32,009, 44,169.54 and 20,068.52

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Solution

The fourth proportional to 32,009, 44,169.54 and 20,068.52 is: 27,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009 : 44,169.54 = 20,068.52 : x
  2. Step 2: Convert to fraction form
    32,009/44,169.54 = 20,068.52/x
  3. Step 3: Cross multiply
    32,009x = 44,169.54 × 20,068.52
  4. Step 4: Simplify right side
    32,009x = 886,417,296.88
  5. Step 5: Solve for x
    x = 886,417,296.88/32,009
  6. Step 6: Final answer
    x = 27,692.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.