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Finding the Fourth Proportional to 31,477.28, 47,208.64 and 9,292.16

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Solution

The fourth proportional to 31,477.28, 47,208.64 and 9,292.16 is: 13,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.28 : 47,208.64 = 9,292.16 : x
  2. Step 2: Convert to fraction form
    31,477.28/47,208.64 = 9,292.16/x
  3. Step 3: Cross multiply
    31,477.28x = 47,208.64 × 9,292.16
  4. Step 4: Simplify right side
    31,477.28x = 438,670,236.26
  5. Step 5: Solve for x
    x = 438,670,236.26/31,477.28
  6. Step 6: Final answer
    x = 13,936.09

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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.