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Finding the Fourth Proportional to 95,262.86, 142,894.32 and 35,311.95

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Solution

The fourth proportional to 95,262.86, 142,894.32 and 35,311.95 is: 52,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,262.86 : 142,894.32 = 35,311.95 : x
  2. Step 2: Convert to fraction form
    95,262.86/142,894.32 = 35,311.95/x
  3. Step 3: Cross multiply
    95,262.86x = 142,894.32 × 35,311.95
  4. Step 4: Simplify right side
    95,262.86x = 5,045,876,368.65
  5. Step 5: Solve for x
    x = 5,045,876,368.65/95,262.86
  6. Step 6: Final answer
    x = 52,967.93

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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.