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Finding the Fourth Proportional to 65,806, 98,709.04 and 16,558

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Solution

The fourth proportional to 65,806, 98,709.04 and 16,558 is: 24,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,806 : 98,709.04 = 16,558 : x
  2. Step 2: Convert to fraction form
    65,806/98,709.04 = 16,558/x
  3. Step 3: Cross multiply
    65,806x = 98,709.04 × 16,558
  4. Step 4: Simplify right side
    65,806x = 1,634,424,284.32
  5. Step 5: Solve for x
    x = 1,634,424,284.32/65,806
  6. Step 6: Final answer
    x = 24,837.01

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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.