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Finding the Fourth Proportional to 51,482.92, 77,078.76 and 32,716.44

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Solution

The fourth proportional to 51,482.92, 77,078.76 and 32,716.44 is: 48,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,482.92 : 77,078.76 = 32,716.44 : x
  2. Step 2: Convert to fraction form
    51,482.92/77,078.76 = 32,716.44/x
  3. Step 3: Cross multiply
    51,482.92x = 77,078.76 × 32,716.44
  4. Step 4: Simplify right side
    51,482.92x = 2,521,742,626.81
  5. Step 5: Solve for x
    x = 2,521,742,626.81/51,482.92
  6. Step 6: Final answer
    x = 48,982.12

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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.