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Finding the Fourth Proportional to 31,461.16, 43,416.37 and 17,314

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Solution

The fourth proportional to 31,461.16, 43,416.37 and 17,314 is: 23,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.16 : 43,416.37 = 17,314 : x
  2. Step 2: Convert to fraction form
    31,461.16/43,416.37 = 17,314/x
  3. Step 3: Cross multiply
    31,461.16x = 43,416.37 × 17,314
  4. Step 4: Simplify right side
    31,461.16x = 751,711,030.18
  5. Step 5: Solve for x
    x = 751,711,030.18/31,461.16
  6. Step 6: Final answer
    x = 23,893.30

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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.