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Finding the Fourth Proportional to 71,673.31, 107,509.98 and 32,184.28

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Solution

The fourth proportional to 71,673.31, 107,509.98 and 32,184.28 is: 48,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,673.31 : 107,509.98 = 32,184.28 : x
  2. Step 2: Convert to fraction form
    71,673.31/107,509.98 = 32,184.28/x
  3. Step 3: Cross multiply
    71,673.31x = 107,509.98 × 32,184.28
  4. Step 4: Simplify right side
    71,673.31x = 3,460,131,299.11
  5. Step 5: Solve for x
    x = 3,460,131,299.11/71,673.31
  6. Step 6: Final answer
    x = 48,276.43

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1.5x scale

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.