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Finding the Fourth Proportional to 32,442.84, 48,664.17 and 7,818.84

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Solution

The fourth proportional to 32,442.84, 48,664.17 and 7,818.84 is: 11,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.84 : 48,664.17 = 7,818.84 : x
  2. Step 2: Convert to fraction form
    32,442.84/48,664.17 = 7,818.84/x
  3. Step 3: Cross multiply
    32,442.84x = 48,664.17 × 7,818.84
  4. Step 4: Simplify right side
    32,442.84x = 380,497,358.96
  5. Step 5: Solve for x
    x = 380,497,358.96/32,442.84
  6. Step 6: Final answer
    x = 11,728.24

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1.5x scale

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.