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Finding the Fourth Proportional to 57,038.68, 78,716.82 and 31,888.36

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Solution

The fourth proportional to 57,038.68, 78,716.82 and 31,888.36 is: 44,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,038.68 : 78,716.82 = 31,888.36 : x
  2. Step 2: Convert to fraction form
    57,038.68/78,716.82 = 31,888.36/x
  3. Step 3: Cross multiply
    57,038.68x = 78,716.82 × 31,888.36
  4. Step 4: Simplify right side
    57,038.68x = 2,510,150,294.22
  5. Step 5: Solve for x
    x = 2,510,150,294.22/57,038.68
  6. Step 6: Final answer
    x = 44,007.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.