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Finding the Fourth Proportional to 31,421.84, 47,132.64 and 8,048.24

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Solution

The fourth proportional to 31,421.84, 47,132.64 and 8,048.24 is: 12,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,421.84 : 47,132.64 = 8,048.24 : x
  2. Step 2: Convert to fraction form
    31,421.84/47,132.64 = 8,048.24/x
  3. Step 3: Cross multiply
    31,421.84x = 47,132.64 × 8,048.24
  4. Step 4: Simplify right side
    31,421.84x = 379,334,798.55
  5. Step 5: Solve for x
    x = 379,334,798.55/31,421.84
  6. Step 6: Final answer
    x = 12,072.33

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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.