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Finding the Fourth Proportional to 31,820.06, 47,726.35 and 8,448.30

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Solution

The fourth proportional to 31,820.06, 47,726.35 and 8,448.30 is: 12,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.06 : 47,726.35 = 8,448.30 : x
  2. Step 2: Convert to fraction form
    31,820.06/47,726.35 = 8,448.30/x
  3. Step 3: Cross multiply
    31,820.06x = 47,726.35 × 8,448.30
  4. Step 4: Simplify right side
    31,820.06x = 403,206,522.71
  5. Step 5: Solve for x
    x = 403,206,522.71/31,820.06
  6. Step 6: Final answer
    x = 12,671.46

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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.