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Finding the Fourth Proportional to 75,869.73, 113,740.34 and 31,468.77

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Solution

The fourth proportional to 75,869.73, 113,740.34 and 31,468.77 is: 47,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,869.73 : 113,740.34 = 31,468.77 : x
  2. Step 2: Convert to fraction form
    75,869.73/113,740.34 = 31,468.77/x
  3. Step 3: Cross multiply
    75,869.73x = 113,740.34 × 31,468.77
  4. Step 4: Simplify right side
    75,869.73x = 3,579,268,441.84
  5. Step 5: Solve for x
    x = 3,579,268,441.84/75,869.73
  6. Step 6: Final answer
    x = 47,176.50

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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.