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Finding the Fourth Proportional to 37,114.68, 55,646.82 and 13,728.36

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Solution

The fourth proportional to 37,114.68, 55,646.82 and 13,728.36 is: 20,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114.68 : 55,646.82 = 13,728.36 : x
  2. Step 2: Convert to fraction form
    37,114.68/55,646.82 = 13,728.36/x
  3. Step 3: Cross multiply
    37,114.68x = 55,646.82 × 13,728.36
  4. Step 4: Simplify right side
    37,114.68x = 763,939,577.82
  5. Step 5: Solve for x
    x = 763,939,577.82/37,114.68
  6. Step 6: Final answer
    x = 20,583.22

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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.