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Finding the Fourth Proportional to 31,477.56, 47,200.05 and 9,288.09

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Solution

The fourth proportional to 31,477.56, 47,200.05 and 9,288.09 is: 13,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.56 : 47,200.05 = 9,288.09 : x
  2. Step 2: Convert to fraction form
    31,477.56/47,200.05 = 9,288.09/x
  3. Step 3: Cross multiply
    31,477.56x = 47,200.05 × 9,288.09
  4. Step 4: Simplify right side
    31,477.56x = 438,398,312.40
  5. Step 5: Solve for x
    x = 438,398,312.40/31,477.56
  6. Step 6: Final answer
    x = 13,927.33

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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.