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Finding the Fourth Proportional to 31,461, 43,417.56 and 17,313.54

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Solution

The fourth proportional to 31,461, 43,417.56 and 17,313.54 is: 23,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461 : 43,417.56 = 17,313.54 : x
  2. Step 2: Convert to fraction form
    31,461/43,417.56 = 17,313.54/x
  3. Step 3: Cross multiply
    31,461x = 43,417.56 × 17,313.54
  4. Step 4: Simplify right side
    31,461x = 751,711,661.76
  5. Step 5: Solve for x
    x = 751,711,661.76/31,461
  6. Step 6: Final answer
    x = 23,893.44

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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.