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Finding the Fourth Proportional to 38,216.61, 57,322.08 and 11,920.50

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Solution

The fourth proportional to 38,216.61, 57,322.08 and 11,920.50 is: 17,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,216.61 : 57,322.08 = 11,920.50 : x
  2. Step 2: Convert to fraction form
    38,216.61/57,322.08 = 11,920.50/x
  3. Step 3: Cross multiply
    38,216.61x = 57,322.08 × 11,920.50
  4. Step 4: Simplify right side
    38,216.61x = 683,307,854.64
  5. Step 5: Solve for x
    x = 683,307,854.64/38,216.61
  6. Step 6: Final answer
    x = 17,879.87

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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.