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Finding the Fourth Proportional to 32,205.35, 48,306 and 10,017.02

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Solution

The fourth proportional to 32,205.35, 48,306 and 10,017.02 is: 15,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.35 : 48,306 = 10,017.02 : x
  2. Step 2: Convert to fraction form
    32,205.35/48,306 = 10,017.02/x
  3. Step 3: Cross multiply
    32,205.35x = 48,306 × 10,017.02
  4. Step 4: Simplify right side
    32,205.35x = 483,882,168.12
  5. Step 5: Solve for x
    x = 483,882,168.12/32,205.35
  6. Step 6: Final answer
    x = 15,024.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.