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Finding the Fourth Proportional to 53,055.38, 73,191.80 and 31,797.74

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Solution

The fourth proportional to 53,055.38, 73,191.80 and 31,797.74 is: 43,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,055.38 : 73,191.80 = 31,797.74 : x
  2. Step 2: Convert to fraction form
    53,055.38/73,191.80 = 31,797.74/x
  3. Step 3: Cross multiply
    53,055.38x = 73,191.80 × 31,797.74
  4. Step 4: Simplify right side
    53,055.38x = 2,327,333,826.53
  5. Step 5: Solve for x
    x = 2,327,333,826.53/53,055.38
  6. Step 6: Final answer
    x = 43,866.12

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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.