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Finding the Fourth Proportional to 32,408.30, 48,583.65 and 21,320.30

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Solution

The fourth proportional to 32,408.30, 48,583.65 and 21,320.30 is: 31,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.30 : 48,583.65 = 21,320.30 : x
  2. Step 2: Convert to fraction form
    32,408.30/48,583.65 = 21,320.30/x
  3. Step 3: Cross multiply
    32,408.30x = 48,583.65 × 21,320.30
  4. Step 4: Simplify right side
    32,408.30x = 1,035,817,993.10
  5. Step 5: Solve for x
    x = 1,035,817,993.10/32,408.30
  6. Step 6: Final answer
    x = 31,961.50

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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.