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Finding the Fourth Proportional to 31,574.76, 47,369.94 and 9,388.05

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Solution

The fourth proportional to 31,574.76, 47,369.94 and 9,388.05 is: 14,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.76 : 47,369.94 = 9,388.05 : x
  2. Step 2: Convert to fraction form
    31,574.76/47,369.94 = 9,388.05/x
  3. Step 3: Cross multiply
    31,574.76x = 47,369.94 × 9,388.05
  4. Step 4: Simplify right side
    31,574.76x = 444,711,365.22
  5. Step 5: Solve for x
    x = 444,711,365.22/31,574.76
  6. Step 6: Final answer
    x = 14,084.39

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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.