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Finding the Fourth Proportional to 65,922.63, 98,889.80 and 18,538.14

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Solution

The fourth proportional to 65,922.63, 98,889.80 and 18,538.14 is: 27,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,922.63 : 98,889.80 = 18,538.14 : x
  2. Step 2: Convert to fraction form
    65,922.63/98,889.80 = 18,538.14/x
  3. Step 3: Cross multiply
    65,922.63x = 98,889.80 × 18,538.14
  4. Step 4: Simplify right side
    65,922.63x = 1,833,232,864.28
  5. Step 5: Solve for x
    x = 1,833,232,864.28/65,922.63
  6. Step 6: Final answer
    x = 27,808.86

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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.