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Finding the Fourth Proportional to 83,657.72, 115,450.06 and 47,356.36

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Solution

The fourth proportional to 83,657.72, 115,450.06 and 47,356.36 is: 65,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.72 : 115,450.06 = 47,356.36 : x
  2. Step 2: Convert to fraction form
    83,657.72/115,450.06 = 47,356.36/x
  3. Step 3: Cross multiply
    83,657.72x = 115,450.06 × 47,356.36
  4. Step 4: Simplify right side
    83,657.72x = 5,467,294,603.38
  5. Step 5: Solve for x
    x = 5,467,294,603.38/83,657.72
  6. Step 6: Final answer
    x = 65,353.14

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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.