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Finding the Fourth Proportional to 31,830.37, 47,752.40 and 9,645.48

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Solution

The fourth proportional to 31,830.37, 47,752.40 and 9,645.48 is: 14,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.37 : 47,752.40 = 9,645.48 : x
  2. Step 2: Convert to fraction form
    31,830.37/47,752.40 = 9,645.48/x
  3. Step 3: Cross multiply
    31,830.37x = 47,752.40 × 9,645.48
  4. Step 4: Simplify right side
    31,830.37x = 460,594,843.27
  5. Step 5: Solve for x
    x = 460,594,843.27/31,830.37
  6. Step 6: Final answer
    x = 14,470.30

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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.