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Finding the Fourth Proportional to 85,834, 118,441.32 and 48,102.80

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Solution

The fourth proportional to 85,834, 118,441.32 and 48,102.80 is: 66,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,834 : 118,441.32 = 48,102.80 : x
  2. Step 2: Convert to fraction form
    85,834/118,441.32 = 48,102.80/x
  3. Step 3: Cross multiply
    85,834x = 118,441.32 × 48,102.80
  4. Step 4: Simplify right side
    85,834x = 5,697,359,127.70
  5. Step 5: Solve for x
    x = 5,697,359,127.70/85,834
  6. Step 6: Final answer
    x = 66,376.48

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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.