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Finding the Fourth Proportional to 115,465.94, 173,203.80 and 36,578.42

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Solution

The fourth proportional to 115,465.94, 173,203.80 and 36,578.42 is: 54,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,465.94 : 173,203.80 = 36,578.42 : x
  2. Step 2: Convert to fraction form
    115,465.94/173,203.80 = 36,578.42/x
  3. Step 3: Cross multiply
    115,465.94x = 173,203.80 × 36,578.42
  4. Step 4: Simplify right side
    115,465.94x = 6,335,521,342.00
  5. Step 5: Solve for x
    x = 6,335,521,342.00/115,465.94
  6. Step 6: Final answer
    x = 54,869.18

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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.