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Finding the Fourth Proportional to 115,584.84, 173,384.82 and 35,613

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Solution

The fourth proportional to 115,584.84, 173,384.82 and 35,613 is: 53,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,584.84 : 173,384.82 = 35,613 : x
  2. Step 2: Convert to fraction form
    115,584.84/173,384.82 = 35,613/x
  3. Step 3: Cross multiply
    115,584.84x = 173,384.82 × 35,613
  4. Step 4: Simplify right side
    115,584.84x = 6,174,753,594.66
  5. Step 5: Solve for x
    x = 6,174,753,594.66/115,584.84
  6. Step 6: Final answer
    x = 53,421.83

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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.