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Finding the Fourth Proportional to 47,903.75, 65,997 and 37,828.47

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Solution

The fourth proportional to 47,903.75, 65,997 and 37,828.47 is: 52,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,903.75 : 65,997 = 37,828.47 : x
  2. Step 2: Convert to fraction form
    47,903.75/65,997 = 37,828.47/x
  3. Step 3: Cross multiply
    47,903.75x = 65,997 × 37,828.47
  4. Step 4: Simplify right side
    47,903.75x = 2,496,565,534.59
  5. Step 5: Solve for x
    x = 2,496,565,534.59/47,903.75
  6. Step 6: Final answer
    x = 52,116.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.