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Finding the Fourth Proportional to 48,783.72, 67,317.84 and 27,564.96

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Solution

The fourth proportional to 48,783.72, 67,317.84 and 27,564.96 is: 38,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,783.72 : 67,317.84 = 27,564.96 : x
  2. Step 2: Convert to fraction form
    48,783.72/67,317.84 = 27,564.96/x
  3. Step 3: Cross multiply
    48,783.72x = 67,317.84 × 27,564.96
  4. Step 4: Simplify right side
    48,783.72x = 1,855,613,566.89
  5. Step 5: Solve for x
    x = 1,855,613,566.89/48,783.72
  6. Step 6: Final answer
    x = 38,037.56

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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.