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Finding the Fourth Proportional to 30,434.97, 45,654.75 and 9,086.00

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Solution

The fourth proportional to 30,434.97, 45,654.75 and 9,086.00 is: 13,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.97 : 45,654.75 = 9,086.00 : x
  2. Step 2: Convert to fraction form
    30,434.97/45,654.75 = 9,086.00/x
  3. Step 3: Cross multiply
    30,434.97x = 45,654.75 × 9,086.00
  4. Step 4: Simplify right side
    30,434.97x = 414,818,807.51
  5. Step 5: Solve for x
    x = 414,818,807.51/30,434.97
  6. Step 6: Final answer
    x = 13,629.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.