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Finding the Fourth Proportional to 73,095.75, 109,643.64 and 25,745.79

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Solution

The fourth proportional to 73,095.75, 109,643.64 and 25,745.79 is: 38,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095.75 : 109,643.64 = 25,745.79 : x
  2. Step 2: Convert to fraction form
    73,095.75/109,643.64 = 25,745.79/x
  3. Step 3: Cross multiply
    73,095.75x = 109,643.64 × 25,745.79
  4. Step 4: Simplify right side
    73,095.75x = 2,822,862,130.28
  5. Step 5: Solve for x
    x = 2,822,862,130.28/73,095.75
  6. Step 6: Final answer
    x = 38,618.69

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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.