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Finding the Fourth Proportional to 65,405.64, 98,109.36 and 18,658.50

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Solution

The fourth proportional to 65,405.64, 98,109.36 and 18,658.50 is: 27,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,405.64 : 98,109.36 = 18,658.50 : x
  2. Step 2: Convert to fraction form
    65,405.64/98,109.36 = 18,658.50/x
  3. Step 3: Cross multiply
    65,405.64x = 98,109.36 × 18,658.50
  4. Step 4: Simplify right side
    65,405.64x = 1,830,573,493.56
  5. Step 5: Solve for x
    x = 1,830,573,493.56/65,405.64
  6. Step 6: Final answer
    x = 27,988.01

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