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Finding the Fourth Proportional to 113,542.86, 170,350 and 47,014.38

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Solution

The fourth proportional to 113,542.86, 170,350 and 47,014.38 is: 70,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,542.86 : 170,350 = 47,014.38 : x
  2. Step 2: Convert to fraction form
    113,542.86/170,350 = 47,014.38/x
  3. Step 3: Cross multiply
    113,542.86x = 170,350 × 47,014.38
  4. Step 4: Simplify right side
    113,542.86x = 8,008,899,633
  5. Step 5: Solve for x
    x = 8,008,899,633/113,542.86
  6. Step 6: Final answer
    x = 70,536.36

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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.