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Finding the Fourth Proportional to 32,977.68, 49,475.16 and 14,522.64

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Solution

The fourth proportional to 32,977.68, 49,475.16 and 14,522.64 is: 21,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,977.68 : 49,475.16 = 14,522.64 : x
  2. Step 2: Convert to fraction form
    32,977.68/49,475.16 = 14,522.64/x
  3. Step 3: Cross multiply
    32,977.68x = 49,475.16 × 14,522.64
  4. Step 4: Simplify right side
    32,977.68x = 718,509,937.62
  5. Step 5: Solve for x
    x = 718,509,937.62/32,977.68
  6. Step 6: Final answer
    x = 21,787.76

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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.