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Finding the Fourth Proportional to 32,033.84, 48,048.96 and 8,658.56

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Solution

The fourth proportional to 32,033.84, 48,048.96 and 8,658.56 is: 12,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,033.84 : 48,048.96 = 8,658.56 : x
  2. Step 2: Convert to fraction form
    32,033.84/48,048.96 = 8,658.56/x
  3. Step 3: Cross multiply
    32,033.84x = 48,048.96 × 8,658.56
  4. Step 4: Simplify right side
    32,033.84x = 416,034,803.10
  5. Step 5: Solve for x
    x = 416,034,803.10/32,033.84
  6. Step 6: Final answer
    x = 12,987.35

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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.