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Finding the Fourth Proportional to 29,941.80, 44,916.70 and 10,215.40

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Solution

The fourth proportional to 29,941.80, 44,916.70 and 10,215.40 is: 15,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,941.80 : 44,916.70 = 10,215.40 : x
  2. Step 2: Convert to fraction form
    29,941.80/44,916.70 = 10,215.40/x
  3. Step 3: Cross multiply
    29,941.80x = 44,916.70 × 10,215.40
  4. Step 4: Simplify right side
    29,941.80x = 458,842,057.18
  5. Step 5: Solve for x
    x = 458,842,057.18/29,941.80
  6. Step 6: Final answer
    x = 15,324.46

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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.