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Finding the Fourth Proportional to 123,851.84, 185,777.76 and 49,928

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Solution

The fourth proportional to 123,851.84, 185,777.76 and 49,928 is: 74,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,851.84 : 185,777.76 = 49,928 : x
  2. Step 2: Convert to fraction form
    123,851.84/185,777.76 = 49,928/x
  3. Step 3: Cross multiply
    123,851.84x = 185,777.76 × 49,928
  4. Step 4: Simplify right side
    123,851.84x = 9,275,512,001.28
  5. Step 5: Solve for x
    x = 9,275,512,001.28/123,851.84
  6. Step 6: Final answer
    x = 74,892.00

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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.