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Finding the Fourth Proportional to 137,717.58, 206,577.29 and 37,888.32

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Solution

The fourth proportional to 137,717.58, 206,577.29 and 37,888.32 is: 56,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,717.58 : 206,577.29 = 37,888.32 : x
  2. Step 2: Convert to fraction form
    137,717.58/206,577.29 = 37,888.32/x
  3. Step 3: Cross multiply
    137,717.58x = 206,577.29 × 37,888.32
  4. Step 4: Simplify right side
    137,717.58x = 7,826,866,468.25
  5. Step 5: Solve for x
    x = 7,826,866,468.25/137,717.58
  6. Step 6: Final answer
    x = 56,832.73

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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.