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Finding the Fourth Proportional to 51,683.49, 71,285.94 and 47,448

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Solution

The fourth proportional to 51,683.49, 71,285.94 and 47,448 is: 65,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,683.49 : 71,285.94 = 47,448 : x
  2. Step 2: Convert to fraction form
    51,683.49/71,285.94 = 47,448/x
  3. Step 3: Cross multiply
    51,683.49x = 71,285.94 × 47,448
  4. Step 4: Simplify right side
    51,683.49x = 3,382,375,281.12
  5. Step 5: Solve for x
    x = 3,382,375,281.12/51,683.49
  6. Step 6: Final answer
    x = 65,444.02

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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.