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Finding the Fourth Proportional to 48,871.96, 73,256.64 and 20,785.48

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Solution

The fourth proportional to 48,871.96, 73,256.64 and 20,785.48 is: 31,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,871.96 : 73,256.64 = 20,785.48 : x
  2. Step 2: Convert to fraction form
    48,871.96/73,256.64 = 20,785.48/x
  3. Step 3: Cross multiply
    48,871.96x = 73,256.64 × 20,785.48
  4. Step 4: Simplify right side
    48,871.96x = 1,522,674,425.59
  5. Step 5: Solve for x
    x = 1,522,674,425.59/48,871.96
  6. Step 6: Final answer
    x = 31,156.40

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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.