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Finding the Fourth Proportional to 31,114.76, 42,938.82 and 16,968.38

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Solution

The fourth proportional to 31,114.76, 42,938.82 and 16,968.38 is: 23,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114.76 : 42,938.82 = 16,968.38 : x
  2. Step 2: Convert to fraction form
    31,114.76/42,938.82 = 16,968.38/x
  3. Step 3: Cross multiply
    31,114.76x = 42,938.82 × 16,968.38
  4. Step 4: Simplify right side
    31,114.76x = 728,602,214.51
  5. Step 5: Solve for x
    x = 728,602,214.51/31,114.76
  6. Step 6: Final answer
    x = 23,416.61

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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.