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Finding the Fourth Proportional to 32,919.60, 49,379.40 and 30,716.40

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Solution

The fourth proportional to 32,919.60, 49,379.40 and 30,716.40 is: 46,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919.60 : 49,379.40 = 30,716.40 : x
  2. Step 2: Convert to fraction form
    32,919.60/49,379.40 = 30,716.40/x
  3. Step 3: Cross multiply
    32,919.60x = 49,379.40 × 30,716.40
  4. Step 4: Simplify right side
    32,919.60x = 1,516,757,402.16
  5. Step 5: Solve for x
    x = 1,516,757,402.16/32,919.60
  6. Step 6: Final answer
    x = 46,074.60

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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.