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Finding the Fourth Proportional to 31,151.48, 42,989.10 and 17,004.32

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Solution

The fourth proportional to 31,151.48, 42,989.10 and 17,004.32 is: 23,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.48 : 42,989.10 = 17,004.32 : x
  2. Step 2: Convert to fraction form
    31,151.48/42,989.10 = 17,004.32/x
  3. Step 3: Cross multiply
    31,151.48x = 42,989.10 × 17,004.32
  4. Step 4: Simplify right side
    31,151.48x = 731,000,197.97
  5. Step 5: Solve for x
    x = 731,000,197.97/31,151.48
  6. Step 6: Final answer
    x = 23,465.99

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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.