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Finding the Fourth Proportional to 137,006.48, 205,523.40 and 37,168.32

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Solution

The fourth proportional to 137,006.48, 205,523.40 and 37,168.32 is: 55,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,006.48 : 205,523.40 = 37,168.32 : x
  2. Step 2: Convert to fraction form
    137,006.48/205,523.40 = 37,168.32/x
  3. Step 3: Cross multiply
    137,006.48x = 205,523.40 × 37,168.32
  4. Step 4: Simplify right side
    137,006.48x = 7,638,959,498.69
  5. Step 5: Solve for x
    x = 7,638,959,498.69/137,006.48
  6. Step 6: Final answer
    x = 55,756.19

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