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Finding the Fourth Proportional to 65,823.80, 98,735.70 and 44,828.60

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Solution

The fourth proportional to 65,823.80, 98,735.70 and 44,828.60 is: 67,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823.80 : 98,735.70 = 44,828.60 : x
  2. Step 2: Convert to fraction form
    65,823.80/98,735.70 = 44,828.60/x
  3. Step 3: Cross multiply
    65,823.80x = 98,735.70 × 44,828.60
  4. Step 4: Simplify right side
    65,823.80x = 4,426,183,201.02
  5. Step 5: Solve for x
    x = 4,426,183,201.02/65,823.80
  6. Step 6: Final answer
    x = 67,242.90

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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.