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Finding the Fourth Proportional to 46,284.84, 69,438.24 and 15,120

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Solution

The fourth proportional to 46,284.84, 69,438.24 and 15,120 is: 22,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284.84 : 69,438.24 = 15,120 : x
  2. Step 2: Convert to fraction form
    46,284.84/69,438.24 = 15,120/x
  3. Step 3: Cross multiply
    46,284.84x = 69,438.24 × 15,120
  4. Step 4: Simplify right side
    46,284.84x = 1,049,906,188.80
  5. Step 5: Solve for x
    x = 1,049,906,188.80/46,284.84
  6. Step 6: Final answer
    x = 22,683.59

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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.