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Finding the Fourth Proportional to 82,494.72, 113,842.44 and 46,683.72

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Solution

The fourth proportional to 82,494.72, 113,842.44 and 46,683.72 is: 64,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,494.72 : 113,842.44 = 46,683.72 : x
  2. Step 2: Convert to fraction form
    82,494.72/113,842.44 = 46,683.72/x
  3. Step 3: Cross multiply
    82,494.72x = 113,842.44 × 46,683.72
  4. Step 4: Simplify right side
    82,494.72x = 5,314,588,593.08
  5. Step 5: Solve for x
    x = 5,314,588,593.08/82,494.72
  6. Step 6: Final answer
    x = 64,423.38

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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.