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Finding the Fourth Proportional to 83,013.26, 114,533.80 and 49,024.54

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Solution

The fourth proportional to 83,013.26, 114,533.80 and 49,024.54 is: 67,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,013.26 : 114,533.80 = 49,024.54 : x
  2. Step 2: Convert to fraction form
    83,013.26/114,533.80 = 49,024.54/x
  3. Step 3: Cross multiply
    83,013.26x = 114,533.80 × 49,024.54
  4. Step 4: Simplify right side
    83,013.26x = 5,614,966,880.06
  5. Step 5: Solve for x
    x = 5,614,966,880.06/83,013.26
  6. Step 6: Final answer
    x = 67,639.40

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