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Finding the Fourth Proportional to 32,652.84, 45,064.64 and 22,064.12

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Solution

The fourth proportional to 32,652.84, 45,064.64 and 22,064.12 is: 30,450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.84 : 45,064.64 = 22,064.12 : x
  2. Step 2: Convert to fraction form
    32,652.84/45,064.64 = 22,064.12/x
  3. Step 3: Cross multiply
    32,652.84x = 45,064.64 × 22,064.12
  4. Step 4: Simplify right side
    32,652.84x = 994,311,454.55
  5. Step 5: Solve for x
    x = 994,311,454.55/32,652.84
  6. Step 6: Final answer
    x = 30,450.99

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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.