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Finding the Fourth Proportional to 75,172.53, 112,677.29 and 37,642.13

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Solution

The fourth proportional to 75,172.53, 112,677.29 and 37,642.13 is: 56,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172.53 : 112,677.29 = 37,642.13 : x
  2. Step 2: Convert to fraction form
    75,172.53/112,677.29 = 37,642.13/x
  3. Step 3: Cross multiply
    75,172.53x = 112,677.29 × 37,642.13
  4. Step 4: Simplify right side
    75,172.53x = 4,241,413,198.23
  5. Step 5: Solve for x
    x = 4,241,413,198.23/75,172.53
  6. Step 6: Final answer
    x = 56,422.38

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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.