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Finding the Fourth Proportional to 46,432.90, 69,660.16 and 36,981

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Solution

The fourth proportional to 46,432.90, 69,660.16 and 36,981 is: 55,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,432.90 : 69,660.16 = 36,981 : x
  2. Step 2: Convert to fraction form
    46,432.90/69,660.16 = 36,981/x
  3. Step 3: Cross multiply
    46,432.90x = 69,660.16 × 36,981
  4. Step 4: Simplify right side
    46,432.90x = 2,576,102,376.96
  5. Step 5: Solve for x
    x = 2,576,102,376.96/46,432.90
  6. Step 6: Final answer
    x = 55,480.11

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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.