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Finding the Fourth Proportional to 56,509.60, 84,764.40 and 32,857.60

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Solution

The fourth proportional to 56,509.60, 84,764.40 and 32,857.60 is: 49,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,509.60 : 84,764.40 = 32,857.60 : x
  2. Step 2: Convert to fraction form
    56,509.60/84,764.40 = 32,857.60/x
  3. Step 3: Cross multiply
    56,509.60x = 84,764.40 × 32,857.60
  4. Step 4: Simplify right side
    56,509.60x = 2,785,154,749.44
  5. Step 5: Solve for x
    x = 2,785,154,749.44/56,509.60
  6. Step 6: Final answer
    x = 49,286.40

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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.