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Finding the Fourth Proportional to 82,465.94, 113,805.78 and 48,473.96

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Solution

The fourth proportional to 82,465.94, 113,805.78 and 48,473.96 is: 66,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,465.94 : 113,805.78 = 48,473.96 : x
  2. Step 2: Convert to fraction form
    82,465.94/113,805.78 = 48,473.96/x
  3. Step 3: Cross multiply
    82,465.94x = 113,805.78 × 48,473.96
  4. Step 4: Simplify right side
    82,465.94x = 5,516,616,827.49
  5. Step 5: Solve for x
    x = 5,516,616,827.49/82,465.94
  6. Step 6: Final answer
    x = 66,895.70

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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.