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Finding the Fourth Proportional to 31,549.31, 47,300.41 and 19,066.50

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Solution

The fourth proportional to 31,549.31, 47,300.41 and 19,066.50 is: 28,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.31 : 47,300.41 = 19,066.50 : x
  2. Step 2: Convert to fraction form
    31,549.31/47,300.41 = 19,066.50/x
  3. Step 3: Cross multiply
    31,549.31x = 47,300.41 × 19,066.50
  4. Step 4: Simplify right side
    31,549.31x = 901,853,267.27
  5. Step 5: Solve for x
    x = 901,853,267.27/31,549.31
  6. Step 6: Final answer
    x = 28,585.51

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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.