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Finding the Fourth Proportional to 31,541.30, 47,318.72 and 9,356.21

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Solution

The fourth proportional to 31,541.30, 47,318.72 and 9,356.21 is: 14,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,541.30 : 47,318.72 = 9,356.21 : x
  2. Step 2: Convert to fraction form
    31,541.30/47,318.72 = 9,356.21/x
  3. Step 3: Cross multiply
    31,541.30x = 47,318.72 × 9,356.21
  4. Step 4: Simplify right side
    31,541.30x = 442,723,597.88
  5. Step 5: Solve for x
    x = 442,723,597.88/31,541.30
  6. Step 6: Final answer
    x = 14,036.32

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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.