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Finding the Fourth Proportional to 60,302.85, 83,223.03 and 33,454

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Solution

The fourth proportional to 60,302.85, 83,223.03 and 33,454 is: 46,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,302.85 : 83,223.03 = 33,454 : x
  2. Step 2: Convert to fraction form
    60,302.85/83,223.03 = 33,454/x
  3. Step 3: Cross multiply
    60,302.85x = 83,223.03 × 33,454
  4. Step 4: Simplify right side
    60,302.85x = 2,784,143,245.62
  5. Step 5: Solve for x
    x = 2,784,143,245.62/60,302.85
  6. Step 6: Final answer
    x = 46,169.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.