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Finding the Fourth Proportional to 85,910.58, 128,834.98 and 29,735.46

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Solution

The fourth proportional to 85,910.58, 128,834.98 and 29,735.46 is: 44,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,910.58 : 128,834.98 = 29,735.46 : x
  2. Step 2: Convert to fraction form
    85,910.58/128,834.98 = 29,735.46/x
  3. Step 3: Cross multiply
    85,910.58x = 128,834.98 × 29,735.46
  4. Step 4: Simplify right side
    85,910.58x = 3,830,967,320.05
  5. Step 5: Solve for x
    x = 3,830,967,320.05/85,910.58
  6. Step 6: Final answer
    x = 44,592.50

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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.