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Finding the Fourth Proportional to 34,114.32, 47,077.20 and 19,008

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Solution

The fourth proportional to 34,114.32, 47,077.20 and 19,008 is: 26,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.32 : 47,077.20 = 19,008 : x
  2. Step 2: Convert to fraction form
    34,114.32/47,077.20 = 19,008/x
  3. Step 3: Cross multiply
    34,114.32x = 47,077.20 × 19,008
  4. Step 4: Simplify right side
    34,114.32x = 894,843,417.60
  5. Step 5: Solve for x
    x = 894,843,417.60/34,114.32
  6. Step 6: Final answer
    x = 26,230.73

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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.