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Finding the Fourth Proportional to 31,898.49, 47,851.11 and 13,179.93

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Solution

The fourth proportional to 31,898.49, 47,851.11 and 13,179.93 is: 19,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.49 : 47,851.11 = 13,179.93 : x
  2. Step 2: Convert to fraction form
    31,898.49/47,851.11 = 13,179.93/x
  3. Step 3: Cross multiply
    31,898.49x = 47,851.11 × 13,179.93
  4. Step 4: Simplify right side
    31,898.49x = 630,674,280.22
  5. Step 5: Solve for x
    x = 630,674,280.22/31,898.49
  6. Step 6: Final answer
    x = 19,771.29

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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.