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Finding the Fourth Proportional to 37,802.96, 52,174.56 and 21,897.20

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Solution

The fourth proportional to 37,802.96, 52,174.56 and 21,897.20 is: 30,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802.96 : 52,174.56 = 21,897.20 : x
  2. Step 2: Convert to fraction form
    37,802.96/52,174.56 = 21,897.20/x
  3. Step 3: Cross multiply
    37,802.96x = 52,174.56 × 21,897.20
  4. Step 4: Simplify right side
    37,802.96x = 1,142,476,775.23
  5. Step 5: Solve for x
    x = 1,142,476,775.23/37,802.96
  6. Step 6: Final answer
    x = 30,221.89

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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.