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Finding the Fourth Proportional to 48,783.60, 67,322.34 and 27,562.68

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Solution

The fourth proportional to 48,783.60, 67,322.34 and 27,562.68 is: 38,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,783.60 : 67,322.34 = 27,562.68 : x
  2. Step 2: Convert to fraction form
    48,783.60/67,322.34 = 27,562.68/x
  3. Step 3: Cross multiply
    48,783.60x = 67,322.34 × 27,562.68
  4. Step 4: Simplify right side
    48,783.60x = 1,855,584,114.27
  5. Step 5: Solve for x
    x = 1,855,584,114.27/48,783.60
  6. Step 6: Final answer
    x = 38,037.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.