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Finding the Fourth Proportional to 34,095.54, 47,014.22 and 23,342.16

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Solution

The fourth proportional to 34,095.54, 47,014.22 and 23,342.16 is: 32,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,095.54 : 47,014.22 = 23,342.16 : x
  2. Step 2: Convert to fraction form
    34,095.54/47,014.22 = 23,342.16/x
  3. Step 3: Cross multiply
    34,095.54x = 47,014.22 × 23,342.16
  4. Step 4: Simplify right side
    34,095.54x = 1,097,413,466.35
  5. Step 5: Solve for x
    x = 1,097,413,466.35/34,095.54
  6. Step 6: Final answer
    x = 32,186.42

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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.