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Finding the Fourth Proportional to 29,943, 44,916.66 and 11,475

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Solution

The fourth proportional to 29,943, 44,916.66 and 11,475 is: 17,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,943 : 44,916.66 = 11,475 : x
  2. Step 2: Convert to fraction form
    29,943/44,916.66 = 11,475/x
  3. Step 3: Cross multiply
    29,943x = 44,916.66 × 11,475
  4. Step 4: Simplify right side
    29,943x = 515,418,673.50
  5. Step 5: Solve for x
    x = 515,418,673.50/29,943
  6. Step 6: Final answer
    x = 17,213.33

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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.