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Finding the Fourth Proportional to 32,095.38, 44,295.75 and 17,949

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Solution

The fourth proportional to 32,095.38, 44,295.75 and 17,949 is: 24,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.38 : 44,295.75 = 17,949 : x
  2. Step 2: Convert to fraction form
    32,095.38/44,295.75 = 17,949/x
  3. Step 3: Cross multiply
    32,095.38x = 44,295.75 × 17,949
  4. Step 4: Simplify right side
    32,095.38x = 795,064,416.75
  5. Step 5: Solve for x
    x = 795,064,416.75/32,095.38
  6. Step 6: Final answer
    x = 24,771.93

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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.