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Finding the Fourth Proportional to 32,920.25, 49,368.69 and 11,854.64

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Solution

The fourth proportional to 32,920.25, 49,368.69 and 11,854.64 is: 17,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.25 : 49,368.69 = 11,854.64 : x
  2. Step 2: Convert to fraction form
    32,920.25/49,368.69 = 11,854.64/x
  3. Step 3: Cross multiply
    32,920.25x = 49,368.69 × 11,854.64
  4. Step 4: Simplify right side
    32,920.25x = 585,247,800.38
  5. Step 5: Solve for x
    x = 585,247,800.38/32,920.25
  6. Step 6: Final answer
    x = 17,777.75

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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.