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Finding the Fourth Proportional to 82,871.10, 114,358.14 and 47,056.38

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Solution

The fourth proportional to 82,871.10, 114,358.14 and 47,056.38 is: 64,935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,871.10 : 114,358.14 = 47,056.38 : x
  2. Step 2: Convert to fraction form
    82,871.10/114,358.14 = 47,056.38/x
  3. Step 3: Cross multiply
    82,871.10x = 114,358.14 × 47,056.38
  4. Step 4: Simplify right side
    82,871.10x = 5,381,280,091.93
  5. Step 5: Solve for x
    x = 5,381,280,091.93/82,871.10
  6. Step 6: Final answer
    x = 64,935.55

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Why These Related Problems?

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