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Finding the Fourth Proportional to 65,353.18, 98,033.41 and 18,602.41

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Solution

The fourth proportional to 65,353.18, 98,033.41 and 18,602.41 is: 27,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,353.18 : 98,033.41 = 18,602.41 : x
  2. Step 2: Convert to fraction form
    65,353.18/98,033.41 = 18,602.41/x
  3. Step 3: Cross multiply
    65,353.18x = 98,033.41 × 18,602.41
  4. Step 4: Simplify right side
    65,353.18x = 1,823,657,441.43
  5. Step 5: Solve for x
    x = 1,823,657,441.43/65,353.18
  6. Step 6: Final answer
    x = 27,904.65

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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.