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Finding the Fourth Proportional to 31,603.72, 47,645.47 and 29,910.28

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Solution

The fourth proportional to 31,603.72, 47,645.47 and 29,910.28 is: 45,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,603.72 : 47,645.47 = 29,910.28 : x
  2. Step 2: Convert to fraction form
    31,603.72/47,645.47 = 29,910.28/x
  3. Step 3: Cross multiply
    31,603.72x = 47,645.47 × 29,910.28
  4. Step 4: Simplify right side
    31,603.72x = 1,425,089,348.43
  5. Step 5: Solve for x
    x = 1,425,089,348.43/31,603.72
  6. Step 6: Final answer
    x = 45,092.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.