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Finding the Fourth Proportional to 33,594.48, 50,389.29 and 10,219.50

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Solution

The fourth proportional to 33,594.48, 50,389.29 and 10,219.50 is: 15,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,594.48 : 50,389.29 = 10,219.50 : x
  2. Step 2: Convert to fraction form
    33,594.48/50,389.29 = 10,219.50/x
  3. Step 3: Cross multiply
    33,594.48x = 50,389.29 × 10,219.50
  4. Step 4: Simplify right side
    33,594.48x = 514,953,349.16
  5. Step 5: Solve for x
    x = 514,953,349.16/33,594.48
  6. Step 6: Final answer
    x = 15,328.51

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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.