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Finding the Fourth Proportional to 34,070.49, 47,014.02 and 25,122.83

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Solution

The fourth proportional to 34,070.49, 47,014.02 and 25,122.83 is: 34,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,070.49 : 47,014.02 = 25,122.83 : x
  2. Step 2: Convert to fraction form
    34,070.49/47,014.02 = 25,122.83/x
  3. Step 3: Cross multiply
    34,070.49x = 47,014.02 × 25,122.83
  4. Step 4: Simplify right side
    34,070.49x = 1,181,124,997.01
  5. Step 5: Solve for x
    x = 1,181,124,997.01/34,070.49
  6. Step 6: Final answer
    x = 34,667.10

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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.