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Finding the Fourth Proportional to 49,513.68, 68,276.04 and 37,442

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Solution

The fourth proportional to 49,513.68, 68,276.04 and 37,442 is: 51,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,513.68 : 68,276.04 = 37,442 : x
  2. Step 2: Convert to fraction form
    49,513.68/68,276.04 = 37,442/x
  3. Step 3: Cross multiply
    49,513.68x = 68,276.04 × 37,442
  4. Step 4: Simplify right side
    49,513.68x = 2,556,391,489.68
  5. Step 5: Solve for x
    x = 2,556,391,489.68/49,513.68
  6. Step 6: Final answer
    x = 51,630.00

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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.