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Finding the Fourth Proportional to 56,564.40, 84,846.60 and 32,847.60

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Solution

The fourth proportional to 56,564.40, 84,846.60 and 32,847.60 is: 49,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,564.40 : 84,846.60 = 32,847.60 : x
  2. Step 2: Convert to fraction form
    56,564.40/84,846.60 = 32,847.60/x
  3. Step 3: Cross multiply
    56,564.40x = 84,846.60 × 32,847.60
  4. Step 4: Simplify right side
    56,564.40x = 2,787,007,178.16
  5. Step 5: Solve for x
    x = 2,787,007,178.16/56,564.40
  6. Step 6: Final answer
    x = 49,271.40

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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.