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Finding the Fourth Proportional to 31,838.24, 43,940.04 and 17,695.64

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Solution

The fourth proportional to 31,838.24, 43,940.04 and 17,695.64 is: 24,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.24 : 43,940.04 = 17,695.64 : x
  2. Step 2: Convert to fraction form
    31,838.24/43,940.04 = 17,695.64/x
  3. Step 3: Cross multiply
    31,838.24x = 43,940.04 × 17,695.64
  4. Step 4: Simplify right side
    31,838.24x = 777,547,129.43
  5. Step 5: Solve for x
    x = 777,547,129.43/31,838.24
  6. Step 6: Final answer
    x = 24,421.80

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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.