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Finding the Fourth Proportional to 31,570, 47,355.36 and 9,382.80

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Solution

The fourth proportional to 31,570, 47,355.36 and 9,382.80 is: 14,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570 : 47,355.36 = 9,382.80 : x
  2. Step 2: Convert to fraction form
    31,570/47,355.36 = 9,382.80/x
  3. Step 3: Cross multiply
    31,570x = 47,355.36 × 9,382.80
  4. Step 4: Simplify right side
    31,570x = 444,325,871.81
  5. Step 5: Solve for x
    x = 444,325,871.81/31,570
  6. Step 6: Final answer
    x = 14,074.31

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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.