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Finding the Fourth Proportional to 31,054.01, 46,564.50 and 22,754.30

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Solution

The fourth proportional to 31,054.01, 46,564.50 and 22,754.30 is: 34,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.01 : 46,564.50 = 22,754.30 : x
  2. Step 2: Convert to fraction form
    31,054.01/46,564.50 = 22,754.30/x
  3. Step 3: Cross multiply
    31,054.01x = 46,564.50 × 22,754.30
  4. Step 4: Simplify right side
    31,054.01x = 1,059,542,602.35
  5. Step 5: Solve for x
    x = 1,059,542,602.35/31,054.01
  6. Step 6: Final answer
    x = 34,119.35

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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.