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Finding the Fourth Proportional to 32,210.84, 48,313.90 and 8,835.44

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Solution

The fourth proportional to 32,210.84, 48,313.90 and 8,835.44 is: 13,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210.84 : 48,313.90 = 8,835.44 : x
  2. Step 2: Convert to fraction form
    32,210.84/48,313.90 = 8,835.44/x
  3. Step 3: Cross multiply
    32,210.84x = 48,313.90 × 8,835.44
  4. Step 4: Simplify right side
    32,210.84x = 426,874,564.62
  5. Step 5: Solve for x
    x = 426,874,564.62/32,210.84
  6. Step 6: Final answer
    x = 13,252.51

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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.