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Finding the Fourth Proportional to 73,103.88, 109,502.73 and 46,674

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Solution

The fourth proportional to 73,103.88, 109,502.73 and 46,674 is: 69,913.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,103.88 : 109,502.73 = 46,674 : x
  2. Step 2: Convert to fraction form
    73,103.88/109,502.73 = 46,674/x
  3. Step 3: Cross multiply
    73,103.88x = 109,502.73 × 46,674
  4. Step 4: Simplify right side
    73,103.88x = 5,110,930,420.02
  5. Step 5: Solve for x
    x = 5,110,930,420.02/73,103.88
  6. Step 6: Final answer
    x = 69,913.26

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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.