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Finding the Fourth Proportional to 31,477.47, 47,202.08 and 9,283.07

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Solution

The fourth proportional to 31,477.47, 47,202.08 and 9,283.07 is: 13,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.47 : 47,202.08 = 9,283.07 : x
  2. Step 2: Convert to fraction form
    31,477.47/47,202.08 = 9,283.07/x
  3. Step 3: Cross multiply
    31,477.47x = 47,202.08 × 9,283.07
  4. Step 4: Simplify right side
    31,477.47x = 438,179,930.36
  5. Step 5: Solve for x
    x = 438,179,930.36/31,477.47
  6. Step 6: Final answer
    x = 13,920.43

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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.