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Finding the Fourth Proportional to 37,538.60, 51,802.62 and 21,623

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Solution

The fourth proportional to 37,538.60, 51,802.62 and 21,623 is: 29,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538.60 : 51,802.62 = 21,623 : x
  2. Step 2: Convert to fraction form
    37,538.60/51,802.62 = 21,623/x
  3. Step 3: Cross multiply
    37,538.60x = 51,802.62 × 21,623
  4. Step 4: Simplify right side
    37,538.60x = 1,120,128,052.26
  5. Step 5: Solve for x
    x = 1,120,128,052.26/37,538.60
  6. Step 6: Final answer
    x = 29,839.37

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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.