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Finding the Fourth Proportional to 76,834.50, 115,297.12 and 32,458.38

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Solution

The fourth proportional to 76,834.50, 115,297.12 and 32,458.38 is: 48,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,834.50 : 115,297.12 = 32,458.38 : x
  2. Step 2: Convert to fraction form
    76,834.50/115,297.12 = 32,458.38/x
  3. Step 3: Cross multiply
    76,834.50x = 115,297.12 × 32,458.38
  4. Step 4: Simplify right side
    76,834.50x = 3,742,357,733.87
  5. Step 5: Solve for x
    x = 3,742,357,733.87/76,834.50
  6. Step 6: Final answer
    x = 48,706.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.