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Finding the Fourth Proportional to 65,201.60, 97,802.40 and 20,829.80

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Solution

The fourth proportional to 65,201.60, 97,802.40 and 20,829.80 is: 31,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.60 : 97,802.40 = 20,829.80 : x
  2. Step 2: Convert to fraction form
    65,201.60/97,802.40 = 20,829.80/x
  3. Step 3: Cross multiply
    65,201.60x = 97,802.40 × 20,829.80
  4. Step 4: Simplify right side
    65,201.60x = 2,037,204,431.52
  5. Step 5: Solve for x
    x = 2,037,204,431.52/65,201.60
  6. Step 6: Final answer
    x = 31,244.70

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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.