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Finding the Fourth Proportional to 47,730.72, 65,865.06 and 27,571.80

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Solution

The fourth proportional to 47,730.72, 65,865.06 and 27,571.80 is: 38,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,730.72 : 65,865.06 = 27,571.80 : x
  2. Step 2: Convert to fraction form
    47,730.72/65,865.06 = 27,571.80/x
  3. Step 3: Cross multiply
    47,730.72x = 65,865.06 × 27,571.80
  4. Step 4: Simplify right side
    47,730.72x = 1,816,018,261.31
  5. Step 5: Solve for x
    x = 1,816,018,261.31/47,730.72
  6. Step 6: Final answer
    x = 38,047.16

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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.