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Finding the Fourth Proportional to 51,991, 71,747.59 and 28,117.67

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Solution

The fourth proportional to 51,991, 71,747.59 and 28,117.67 is: 38,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991 : 71,747.59 = 28,117.67 : x
  2. Step 2: Convert to fraction form
    51,991/71,747.59 = 28,117.67/x
  3. Step 3: Cross multiply
    51,991x = 71,747.59 × 28,117.67
  4. Step 4: Simplify right side
    51,991x = 2,017,375,058.92
  5. Step 5: Solve for x
    x = 2,017,375,058.92/51,991
  6. Step 6: Final answer
    x = 38,802.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.