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Finding the Fourth Proportional to 34,225.66, 47,237.61 and 22,141

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Solution

The fourth proportional to 34,225.66, 47,237.61 and 22,141 is: 30,558.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225.66 : 47,237.61 = 22,141 : x
  2. Step 2: Convert to fraction form
    34,225.66/47,237.61 = 22,141/x
  3. Step 3: Cross multiply
    34,225.66x = 47,237.61 × 22,141
  4. Step 4: Simplify right side
    34,225.66x = 1,045,887,923.01
  5. Step 5: Solve for x
    x = 1,045,887,923.01/34,225.66
  6. Step 6: Final answer
    x = 30,558.59

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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.