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Finding the Fourth Proportional to 31,506.02, 47,280.90 and 18,384.02

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Solution

The fourth proportional to 31,506.02, 47,280.90 and 18,384.02 is: 27,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.02 : 47,280.90 = 18,384.02 : x
  2. Step 2: Convert to fraction form
    31,506.02/47,280.90 = 18,384.02/x
  3. Step 3: Cross multiply
    31,506.02x = 47,280.90 × 18,384.02
  4. Step 4: Simplify right side
    31,506.02x = 869,213,011.22
  5. Step 5: Solve for x
    x = 869,213,011.22/31,506.02
  6. Step 6: Final answer
    x = 27,588.79

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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.