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Finding the Fourth Proportional to 67,695.48, 101,538.90 and 23,323.14

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Solution

The fourth proportional to 67,695.48, 101,538.90 and 23,323.14 is: 34,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,695.48 : 101,538.90 = 23,323.14 : x
  2. Step 2: Convert to fraction form
    67,695.48/101,538.90 = 23,323.14/x
  3. Step 3: Cross multiply
    67,695.48x = 101,538.90 × 23,323.14
  4. Step 4: Simplify right side
    67,695.48x = 2,368,205,980.15
  5. Step 5: Solve for x
    x = 2,368,205,980.15/67,695.48
  6. Step 6: Final answer
    x = 34,983.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.