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Finding the Fourth Proportional to 31,395.35, 47,101.53 and 9,208.53

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Solution

The fourth proportional to 31,395.35, 47,101.53 and 9,208.53 is: 13,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,395.35 : 47,101.53 = 9,208.53 : x
  2. Step 2: Convert to fraction form
    31,395.35/47,101.53 = 9,208.53/x
  3. Step 3: Cross multiply
    31,395.35x = 47,101.53 × 9,208.53
  4. Step 4: Simplify right side
    31,395.35x = 433,735,852.05
  5. Step 5: Solve for x
    x = 433,735,852.05/31,395.35
  6. Step 6: Final answer
    x = 13,815.29

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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.