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Finding the Fourth Proportional to 45,691.56, 63,056.70 and 27,783.60

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Solution

The fourth proportional to 45,691.56, 63,056.70 and 27,783.60 is: 38,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,691.56 : 63,056.70 = 27,783.60 : x
  2. Step 2: Convert to fraction form
    45,691.56/63,056.70 = 27,783.60/x
  3. Step 3: Cross multiply
    45,691.56x = 63,056.70 × 27,783.60
  4. Step 4: Simplify right side
    45,691.56x = 1,751,942,130.12
  5. Step 5: Solve for x
    x = 1,751,942,130.12/45,691.56
  6. Step 6: Final answer
    x = 38,342.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.