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Finding the Fourth Proportional to 47,052, 64,934.64 and 27,180

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Solution

The fourth proportional to 47,052, 64,934.64 and 27,180 is: 37,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,052 : 64,934.64 = 27,180 : x
  2. Step 2: Convert to fraction form
    47,052/64,934.64 = 27,180/x
  3. Step 3: Cross multiply
    47,052x = 64,934.64 × 27,180
  4. Step 4: Simplify right side
    47,052x = 1,764,923,515.20
  5. Step 5: Solve for x
    x = 1,764,923,515.20/47,052
  6. Step 6: Final answer
    x = 37,510.06

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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.