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Finding the Fourth Proportional to 56,194.75, 84,292.13 and 14,641.75

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Solution

The fourth proportional to 56,194.75, 84,292.13 and 14,641.75 is: 21,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,194.75 : 84,292.13 = 14,641.75 : x
  2. Step 2: Convert to fraction form
    56,194.75/84,292.13 = 14,641.75/x
  3. Step 3: Cross multiply
    56,194.75x = 84,292.13 × 14,641.75
  4. Step 4: Simplify right side
    56,194.75x = 1,234,184,294.43
  5. Step 5: Solve for x
    x = 1,234,184,294.43/56,194.75
  6. Step 6: Final answer
    x = 21,962.63

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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.