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Finding the Fourth Proportional to 53,761.68, 74,224.80 and 34,650

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Solution

The fourth proportional to 53,761.68, 74,224.80 and 34,650 is: 47,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,761.68 : 74,224.80 = 34,650 : x
  2. Step 2: Convert to fraction form
    53,761.68/74,224.80 = 34,650/x
  3. Step 3: Cross multiply
    53,761.68x = 74,224.80 × 34,650
  4. Step 4: Simplify right side
    53,761.68x = 2,571,889,320
  5. Step 5: Solve for x
    x = 2,571,889,320/53,761.68
  6. Step 6: Final answer
    x = 47,838.71

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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.