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Finding the Fourth Proportional to 137,716.58, 206,575.79 and 37,887.32

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Solution

The fourth proportional to 137,716.58, 206,575.79 and 37,887.32 is: 56,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716.58 : 206,575.79 = 37,887.32 : x
  2. Step 2: Convert to fraction form
    137,716.58/206,575.79 = 37,887.32/x
  3. Step 3: Cross multiply
    137,716.58x = 206,575.79 × 37,887.32
  4. Step 4: Simplify right side
    137,716.58x = 7,826,603,386.99
  5. Step 5: Solve for x
    x = 7,826,603,386.99/137,716.58
  6. Step 6: Final answer
    x = 56,831.23

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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.