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Finding the Fourth Proportional to 27,946.62, 41,920.02 and 17,536.50

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Solution

The fourth proportional to 27,946.62, 41,920.02 and 17,536.50 is: 26,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.62 : 41,920.02 = 17,536.50 : x
  2. Step 2: Convert to fraction form
    27,946.62/41,920.02 = 17,536.50/x
  3. Step 3: Cross multiply
    27,946.62x = 41,920.02 × 17,536.50
  4. Step 4: Simplify right side
    27,946.62x = 735,130,430.73
  5. Step 5: Solve for x
    x = 735,130,430.73/27,946.62
  6. Step 6: Final answer
    x = 26,304.81

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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.