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Finding the Fourth Proportional to 27,178.79, 40,746.24 and 10,530.32

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Solution

The fourth proportional to 27,178.79, 40,746.24 and 10,530.32 is: 15,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.79 : 40,746.24 = 10,530.32 : x
  2. Step 2: Convert to fraction form
    27,178.79/40,746.24 = 10,530.32/x
  3. Step 3: Cross multiply
    27,178.79x = 40,746.24 × 10,530.32
  4. Step 4: Simplify right side
    27,178.79x = 429,070,742.27
  5. Step 5: Solve for x
    x = 429,070,742.27/27,178.79
  6. Step 6: Final answer
    x = 15,786.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.