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Finding the Fourth Proportional to 53,806.38, 74,208.58 and 47,761.03

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Solution

The fourth proportional to 53,806.38, 74,208.58 and 47,761.03 is: 65,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,806.38 : 74,208.58 = 47,761.03 : x
  2. Step 2: Convert to fraction form
    53,806.38/74,208.58 = 47,761.03/x
  3. Step 3: Cross multiply
    53,806.38x = 74,208.58 × 47,761.03
  4. Step 4: Simplify right side
    53,806.38x = 3,544,278,189.00
  5. Step 5: Solve for x
    x = 3,544,278,189.00/53,806.38
  6. Step 6: Final answer
    x = 65,870.97

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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.