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Finding the Fourth Proportional to 75,836.71, 113,666.50 and 57,056.41

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Solution

The fourth proportional to 75,836.71, 113,666.50 and 57,056.41 is: 85,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,836.71 : 113,666.50 = 57,056.41 : x
  2. Step 2: Convert to fraction form
    75,836.71/113,666.50 = 57,056.41/x
  3. Step 3: Cross multiply
    75,836.71x = 113,666.50 × 57,056.41
  4. Step 4: Simplify right side
    75,836.71x = 6,485,402,427.27
  5. Step 5: Solve for x
    x = 6,485,402,427.27/75,836.71
  6. Step 6: Final answer
    x = 85,517.98

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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.