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Finding the Fourth Proportional to 117,993, 177,024.06 and 34,889.16

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Solution

The fourth proportional to 117,993, 177,024.06 and 34,889.16 is: 52,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,993 : 177,024.06 = 34,889.16 : x
  2. Step 2: Convert to fraction form
    117,993/177,024.06 = 34,889.16/x
  3. Step 3: Cross multiply
    117,993x = 177,024.06 × 34,889.16
  4. Step 4: Simplify right side
    117,993x = 6,176,220,753.19
  5. Step 5: Solve for x
    x = 6,176,220,753.19/117,993
  6. Step 6: Final answer
    x = 52,343.96

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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.