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Finding the Fourth Proportional to 65,200.32, 97,844.22 and 23,080.50

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Solution

The fourth proportional to 65,200.32, 97,844.22 and 23,080.50 is: 34,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.32 : 97,844.22 = 23,080.50 : x
  2. Step 2: Convert to fraction form
    65,200.32/97,844.22 = 23,080.50/x
  3. Step 3: Cross multiply
    65,200.32x = 97,844.22 × 23,080.50
  4. Step 4: Simplify right side
    65,200.32x = 2,258,293,519.71
  5. Step 5: Solve for x
    x = 2,258,293,519.71/65,200.32
  6. Step 6: Final answer
    x = 34,636.23

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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.