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Finding the Fourth Proportional to 33,358.95, 50,038.47 and 8,399.00

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Solution

The fourth proportional to 33,358.95, 50,038.47 and 8,399.00 is: 12,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,358.95 : 50,038.47 = 8,399.00 : x
  2. Step 2: Convert to fraction form
    33,358.95/50,038.47 = 8,399.00/x
  3. Step 3: Cross multiply
    33,358.95x = 50,038.47 × 8,399.00
  4. Step 4: Simplify right side
    33,358.95x = 420,272,817.34
  5. Step 5: Solve for x
    x = 420,272,817.34/33,358.95
  6. Step 6: Final answer
    x = 12,598.50

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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.