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Finding the Fourth Proportional to 83,043, 114,600.96 and 49,509

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Solution

The fourth proportional to 83,043, 114,600.96 and 49,509 is: 68,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,043 : 114,600.96 = 49,509 : x
  2. Step 2: Convert to fraction form
    83,043/114,600.96 = 49,509/x
  3. Step 3: Cross multiply
    83,043x = 114,600.96 × 49,509
  4. Step 4: Simplify right side
    83,043x = 5,673,778,928.64
  5. Step 5: Solve for x
    x = 5,673,778,928.64/83,043
  6. Step 6: Final answer
    x = 68,323.39

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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.