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Finding the Fourth Proportional to 34,071.86, 46,978.94 and 23,321.92

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Solution

The fourth proportional to 34,071.86, 46,978.94 and 23,321.92 is: 32,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.86 : 46,978.94 = 23,321.92 : x
  2. Step 2: Convert to fraction form
    34,071.86/46,978.94 = 23,321.92/x
  3. Step 3: Cross multiply
    34,071.86x = 46,978.94 × 23,321.92
  4. Step 4: Simplify right side
    34,071.86x = 1,095,639,080.36
  5. Step 5: Solve for x
    x = 1,095,639,080.36/34,071.86
  6. Step 6: Final answer
    x = 32,156.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.