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Finding the Fourth Proportional to 65,093.54, 97,653.38 and 27,653.31

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Solution

The fourth proportional to 65,093.54, 97,653.38 and 27,653.31 is: 41,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093.54 : 97,653.38 = 27,653.31 : x
  2. Step 2: Convert to fraction form
    65,093.54/97,653.38 = 27,653.31/x
  3. Step 3: Cross multiply
    65,093.54x = 97,653.38 × 27,653.31
  4. Step 4: Simplify right side
    65,093.54x = 2,700,439,051.42
  5. Step 5: Solve for x
    x = 2,700,439,051.42/65,093.54
  6. Step 6: Final answer
    x = 41,485.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.