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Finding the Fourth Proportional to 37,735, 52,071.30 and 21,820.48

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Solution

The fourth proportional to 37,735, 52,071.30 and 21,820.48 is: 30,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735 : 52,071.30 = 21,820.48 : x
  2. Step 2: Convert to fraction form
    37,735/52,071.30 = 21,820.48/x
  3. Step 3: Cross multiply
    37,735x = 52,071.30 × 21,820.48
  4. Step 4: Simplify right side
    37,735x = 1,136,220,760.22
  5. Step 5: Solve for x
    x = 1,136,220,760.22/37,735
  6. Step 6: Final answer
    x = 30,110.53

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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.