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Finding the Fourth Proportional to 35,699.07, 49,262.01 and 19,783.20

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Solution

The fourth proportional to 35,699.07, 49,262.01 and 19,783.20 is: 27,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.07 : 49,262.01 = 19,783.20 : x
  2. Step 2: Convert to fraction form
    35,699.07/49,262.01 = 19,783.20/x
  3. Step 3: Cross multiply
    35,699.07x = 49,262.01 × 19,783.20
  4. Step 4: Simplify right side
    35,699.07x = 974,560,196.23
  5. Step 5: Solve for x
    x = 974,560,196.23/35,699.07
  6. Step 6: Final answer
    x = 27,299.32

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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.