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Finding the Fourth Proportional to 65,657.10, 98,485.65 and 18,914.70

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Solution

The fourth proportional to 65,657.10, 98,485.65 and 18,914.70 is: 28,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,657.10 : 98,485.65 = 18,914.70 : x
  2. Step 2: Convert to fraction form
    65,657.10/98,485.65 = 18,914.70/x
  3. Step 3: Cross multiply
    65,657.10x = 98,485.65 × 18,914.70
  4. Step 4: Simplify right side
    65,657.10x = 1,862,826,524.06
  5. Step 5: Solve for x
    x = 1,862,826,524.06/65,657.10
  6. Step 6: Final answer
    x = 28,372.05

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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.