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Finding the Fourth Proportional to 65,810.40, 98,715.60 and 32,546.40

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Solution

The fourth proportional to 65,810.40, 98,715.60 and 32,546.40 is: 48,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,810.40 : 98,715.60 = 32,546.40 : x
  2. Step 2: Convert to fraction form
    65,810.40/98,715.60 = 32,546.40/x
  3. Step 3: Cross multiply
    65,810.40x = 98,715.60 × 32,546.40
  4. Step 4: Simplify right side
    65,810.40x = 3,212,837,403.84
  5. Step 5: Solve for x
    x = 3,212,837,403.84/65,810.40
  6. Step 6: Final answer
    x = 48,819.60

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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.