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Finding the Fourth Proportional to 37,480.97, 56,205.05 and 14,091

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Solution

The fourth proportional to 37,480.97, 56,205.05 and 14,091 is: 21,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,480.97 : 56,205.05 = 14,091 : x
  2. Step 2: Convert to fraction form
    37,480.97/56,205.05 = 14,091/x
  3. Step 3: Cross multiply
    37,480.97x = 56,205.05 × 14,091
  4. Step 4: Simplify right side
    37,480.97x = 791,985,289.10
  5. Step 5: Solve for x
    x = 791,985,289.10/37,480.97
  6. Step 6: Final answer
    x = 21,130.33

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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.