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Finding the Fourth Proportional to 49,325.76, 73,992.24 and 17,742.24

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Solution

The fourth proportional to 49,325.76, 73,992.24 and 17,742.24 is: 26,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,325.76 : 73,992.24 = 17,742.24 : x
  2. Step 2: Convert to fraction form
    49,325.76/73,992.24 = 17,742.24/x
  3. Step 3: Cross multiply
    49,325.76x = 73,992.24 × 17,742.24
  4. Step 4: Simplify right side
    49,325.76x = 1,312,788,080.22
  5. Step 5: Solve for x
    x = 1,312,788,080.22/49,325.76
  6. Step 6: Final answer
    x = 26,614.65

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1.5x scale

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.