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Finding the Fourth Proportional to 47,810.65, 65,983.54 and 27,395.42

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Solution

The fourth proportional to 47,810.65, 65,983.54 and 27,395.42 is: 37,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810.65 : 65,983.54 = 27,395.42 : x
  2. Step 2: Convert to fraction form
    47,810.65/65,983.54 = 27,395.42/x
  3. Step 3: Cross multiply
    47,810.65x = 65,983.54 × 27,395.42
  4. Step 4: Simplify right side
    47,810.65x = 1,807,646,791.39
  5. Step 5: Solve for x
    x = 1,807,646,791.39/47,810.65
  6. Step 6: Final answer
    x = 37,808.45

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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.