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Finding the Fourth Proportional to 31,580.79, 47,362.95 and 9,388.22

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Solution

The fourth proportional to 31,580.79, 47,362.95 and 9,388.22 is: 14,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.79 : 47,362.95 = 9,388.22 : x
  2. Step 2: Convert to fraction form
    31,580.79/47,362.95 = 9,388.22/x
  3. Step 3: Cross multiply
    31,580.79x = 47,362.95 × 9,388.22
  4. Step 4: Simplify right side
    31,580.79x = 444,653,557.63
  5. Step 5: Solve for x
    x = 444,653,557.63/31,580.79
  6. Step 6: Final answer
    x = 14,079.87

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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.