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Finding the Fourth Proportional to 32,990, 45,588.32 and 25,017.44

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Solution

The fourth proportional to 32,990, 45,588.32 and 25,017.44 is: 34,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990 : 45,588.32 = 25,017.44 : x
  2. Step 2: Convert to fraction form
    32,990/45,588.32 = 25,017.44/x
  3. Step 3: Cross multiply
    32,990x = 45,588.32 × 25,017.44
  4. Step 4: Simplify right side
    32,990x = 1,140,503,060.30
  5. Step 5: Solve for x
    x = 1,140,503,060.30/32,990
  6. Step 6: Final answer
    x = 34,571.17

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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.