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Finding the Fourth Proportional to 27,110.60, 40,646.70 and 10,464.20

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Solution

The fourth proportional to 27,110.60, 40,646.70 and 10,464.20 is: 15,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.60 : 40,646.70 = 10,464.20 : x
  2. Step 2: Convert to fraction form
    27,110.60/40,646.70 = 10,464.20/x
  3. Step 3: Cross multiply
    27,110.60x = 40,646.70 × 10,464.20
  4. Step 4: Simplify right side
    27,110.60x = 425,335,198.14
  5. Step 5: Solve for x
    x = 425,335,198.14/27,110.60
  6. Step 6: Final answer
    x = 15,688.89

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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.