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Finding the Fourth Proportional to 34,156.86, 47,135.01 and 25,201.14

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Solution

The fourth proportional to 34,156.86, 47,135.01 and 25,201.14 is: 34,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,156.86 : 47,135.01 = 25,201.14 : x
  2. Step 2: Convert to fraction form
    34,156.86/47,135.01 = 25,201.14/x
  3. Step 3: Cross multiply
    34,156.86x = 47,135.01 × 25,201.14
  4. Step 4: Simplify right side
    34,156.86x = 1,187,855,985.91
  5. Step 5: Solve for x
    x = 1,187,855,985.91/34,156.86
  6. Step 6: Final answer
    x = 34,776.50

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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.