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Finding the Fourth Proportional to 83,138.06, 114,736.31 and 47,328.06

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Solution

The fourth proportional to 83,138.06, 114,736.31 and 47,328.06 is: 65,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.06 : 114,736.31 = 47,328.06 : x
  2. Step 2: Convert to fraction form
    83,138.06/114,736.31 = 47,328.06/x
  3. Step 3: Cross multiply
    83,138.06x = 114,736.31 × 47,328.06
  4. Step 4: Simplify right side
    83,138.06x = 5,430,246,963.86
  5. Step 5: Solve for x
    x = 5,430,246,963.86/83,138.06
  6. Step 6: Final answer
    x = 65,316.02

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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.