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Finding the Fourth Proportional to 65,457.60, 98,186.40 and 16,209.60

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Solution

The fourth proportional to 65,457.60, 98,186.40 and 16,209.60 is: 24,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,457.60 : 98,186.40 = 16,209.60 : x
  2. Step 2: Convert to fraction form
    65,457.60/98,186.40 = 16,209.60/x
  3. Step 3: Cross multiply
    65,457.60x = 98,186.40 × 16,209.60
  4. Step 4: Simplify right side
    65,457.60x = 1,591,562,269.44
  5. Step 5: Solve for x
    x = 1,591,562,269.44/65,457.60
  6. Step 6: Final answer
    x = 24,314.40

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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.