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Finding the Fourth Proportional to 31,649.51, 47,467.20 and 9,460.00

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Solution

The fourth proportional to 31,649.51, 47,467.20 and 9,460.00 is: 14,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.51 : 47,467.20 = 9,460.00 : x
  2. Step 2: Convert to fraction form
    31,649.51/47,467.20 = 9,460.00/x
  3. Step 3: Cross multiply
    31,649.51x = 47,467.20 × 9,460.00
  4. Step 4: Simplify right side
    31,649.51x = 449,039,806.81
  5. Step 5: Solve for x
    x = 449,039,806.81/31,649.51
  6. Step 6: Final answer
    x = 14,187.89

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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.