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Finding the Fourth Proportional to 61,097.95, 91,589.46 and 32,975.86

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Solution

The fourth proportional to 61,097.95, 91,589.46 and 32,975.86 is: 49,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,097.95 : 91,589.46 = 32,975.86 : x
  2. Step 2: Convert to fraction form
    61,097.95/91,589.46 = 32,975.86/x
  3. Step 3: Cross multiply
    61,097.95x = 91,589.46 × 32,975.86
  4. Step 4: Simplify right side
    61,097.95x = 3,020,241,210.44
  5. Step 5: Solve for x
    x = 3,020,241,210.44/61,097.95
  6. Step 6: Final answer
    x = 49,432.77

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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.