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Finding the Fourth Proportional to 53,857.54, 74,304.17 and 31,184.16

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Solution

The fourth proportional to 53,857.54, 74,304.17 and 31,184.16 is: 43,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.54 : 74,304.17 = 31,184.16 : x
  2. Step 2: Convert to fraction form
    53,857.54/74,304.17 = 31,184.16/x
  3. Step 3: Cross multiply
    53,857.54x = 74,304.17 × 31,184.16
  4. Step 4: Simplify right side
    53,857.54x = 2,317,112,808.33
  5. Step 5: Solve for x
    x = 2,317,112,808.33/53,857.54
  6. Step 6: Final answer
    x = 43,023.00

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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.