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Finding the Fourth Proportional to 31,101.67, 46,648.14 and 8,916.94

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Solution

The fourth proportional to 31,101.67, 46,648.14 and 8,916.94 is: 13,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,101.67 : 46,648.14 = 8,916.94 : x
  2. Step 2: Convert to fraction form
    31,101.67/46,648.14 = 8,916.94/x
  3. Step 3: Cross multiply
    31,101.67x = 46,648.14 × 8,916.94
  4. Step 4: Simplify right side
    31,101.67x = 415,958,665.49
  5. Step 5: Solve for x
    x = 415,958,665.49/31,101.67
  6. Step 6: Final answer
    x = 13,374.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.