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Finding the Fourth Proportional to 82,274.16, 113,532.12 and 46,459.20

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Solution

The fourth proportional to 82,274.16, 113,532.12 and 46,459.20 is: 64,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,274.16 : 113,532.12 = 46,459.20 : x
  2. Step 2: Convert to fraction form
    82,274.16/113,532.12 = 46,459.20/x
  3. Step 3: Cross multiply
    82,274.16x = 113,532.12 × 46,459.20
  4. Step 4: Simplify right side
    82,274.16x = 5,274,611,469.50
  5. Step 5: Solve for x
    x = 5,274,611,469.50/82,274.16
  6. Step 6: Final answer
    x = 64,110.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.