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Finding the Fourth Proportional to 81,538.38, 112,523.16 and 47,570.22

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Solution

The fourth proportional to 81,538.38, 112,523.16 and 47,570.22 is: 65,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,538.38 : 112,523.16 = 47,570.22 : x
  2. Step 2: Convert to fraction form
    81,538.38/112,523.16 = 47,570.22/x
  3. Step 3: Cross multiply
    81,538.38x = 112,523.16 × 47,570.22
  4. Step 4: Simplify right side
    81,538.38x = 5,352,750,913.68
  5. Step 5: Solve for x
    x = 5,352,750,913.68/81,538.38
  6. Step 6: Final answer
    x = 65,647.01

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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.