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Finding the Fourth Proportional to 23,385.70, 35,078.52 and 5,855.50

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Solution

The fourth proportional to 23,385.70, 35,078.52 and 5,855.50 is: 8,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385.70 : 35,078.52 = 5,855.50 : x
  2. Step 2: Convert to fraction form
    23,385.70/35,078.52 = 5,855.50/x
  3. Step 3: Cross multiply
    23,385.70x = 35,078.52 × 5,855.50
  4. Step 4: Simplify right side
    23,385.70x = 205,402,273.86
  5. Step 5: Solve for x
    x = 205,402,273.86/23,385.70
  6. Step 6: Final answer
    x = 8,783.24

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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.