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Finding the Fourth Proportional to 73,888.64, 110,782.32 and 26,502.71

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Solution

The fourth proportional to 73,888.64, 110,782.32 and 26,502.71 is: 39,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,888.64 : 110,782.32 = 26,502.71 : x
  2. Step 2: Convert to fraction form
    73,888.64/110,782.32 = 26,502.71/x
  3. Step 3: Cross multiply
    73,888.64x = 110,782.32 × 26,502.71
  4. Step 4: Simplify right side
    73,888.64x = 2,936,031,700.09
  5. Step 5: Solve for x
    x = 2,936,031,700.09/73,888.64
  6. Step 6: Final answer
    x = 39,735.90

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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.