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Finding the Fourth Proportional to 82,294.84, 113,576.12 and 46,487.16

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Solution

The fourth proportional to 82,294.84, 113,576.12 and 46,487.16 is: 64,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,294.84 : 113,576.12 = 46,487.16 : x
  2. Step 2: Convert to fraction form
    82,294.84/113,576.12 = 46,487.16/x
  3. Step 3: Cross multiply
    82,294.84x = 113,576.12 × 46,487.16
  4. Step 4: Simplify right side
    82,294.84x = 5,279,831,146.57
  5. Step 5: Solve for x
    x = 5,279,831,146.57/82,294.84
  6. Step 6: Final answer
    x = 64,157.50

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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.