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Finding the Fourth Proportional to 34,053.24, 46,980.54 and 25,122

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Solution

The fourth proportional to 34,053.24, 46,980.54 and 25,122 is: 34,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053.24 : 46,980.54 = 25,122 : x
  2. Step 2: Convert to fraction form
    34,053.24/46,980.54 = 25,122/x
  3. Step 3: Cross multiply
    34,053.24x = 46,980.54 × 25,122
  4. Step 4: Simplify right side
    34,053.24x = 1,180,245,125.88
  5. Step 5: Solve for x
    x = 1,180,245,125.88/34,053.24
  6. Step 6: Final answer
    x = 34,658.82

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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.