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Finding the Fourth Proportional to 47,295.54, 70,943.31 and 16,131.06

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Solution

The fourth proportional to 47,295.54, 70,943.31 and 16,131.06 is: 24,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,295.54 : 70,943.31 = 16,131.06 : x
  2. Step 2: Convert to fraction form
    47,295.54/70,943.31 = 16,131.06/x
  3. Step 3: Cross multiply
    47,295.54x = 70,943.31 × 16,131.06
  4. Step 4: Simplify right side
    47,295.54x = 1,144,390,790.21
  5. Step 5: Solve for x
    x = 1,144,390,790.21/47,295.54
  6. Step 6: Final answer
    x = 24,196.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.