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Finding the Fourth Proportional to 31,103.37, 46,648.17 and 8,916.66

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Solution

The fourth proportional to 31,103.37, 46,648.17 and 8,916.66 is: 13,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.37 : 46,648.17 = 8,916.66 : x
  2. Step 2: Convert to fraction form
    31,103.37/46,648.17 = 8,916.66/x
  3. Step 3: Cross multiply
    31,103.37x = 46,648.17 × 8,916.66
  4. Step 4: Simplify right side
    31,103.37x = 415,945,871.51
  5. Step 5: Solve for x
    x = 415,945,871.51/31,103.37
  6. Step 6: Final answer
    x = 13,373.02

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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.