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Finding the Fourth Proportional to 65,201.64, 97,841.50 and 28,265.64

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Solution

The fourth proportional to 65,201.64, 97,841.50 and 28,265.64 is: 42,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.64 : 97,841.50 = 28,265.64 : x
  2. Step 2: Convert to fraction form
    65,201.64/97,841.50 = 28,265.64/x
  3. Step 3: Cross multiply
    65,201.64x = 97,841.50 × 28,265.64
  4. Step 4: Simplify right side
    65,201.64x = 2,765,552,616.06
  5. Step 5: Solve for x
    x = 2,765,552,616.06/65,201.64
  6. Step 6: Final answer
    x = 42,415.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.