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Finding the Fourth Proportional to 35,948, 49,608.24 and 21,044

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Solution

The fourth proportional to 35,948, 49,608.24 and 21,044 is: 29,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,948 : 49,608.24 = 21,044 : x
  2. Step 2: Convert to fraction form
    35,948/49,608.24 = 21,044/x
  3. Step 3: Cross multiply
    35,948x = 49,608.24 × 21,044
  4. Step 4: Simplify right side
    35,948x = 1,043,955,802.56
  5. Step 5: Solve for x
    x = 1,043,955,802.56/35,948
  6. Step 6: Final answer
    x = 29,040.72

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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.