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Finding the Fourth Proportional to 82,039.72, 113,211.60 and 46,237

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Solution

The fourth proportional to 82,039.72, 113,211.60 and 46,237 is: 63,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039.72 : 113,211.60 = 46,237 : x
  2. Step 2: Convert to fraction form
    82,039.72/113,211.60 = 46,237/x
  3. Step 3: Cross multiply
    82,039.72x = 113,211.60 × 46,237
  4. Step 4: Simplify right side
    82,039.72x = 5,234,564,749.20
  5. Step 5: Solve for x
    x = 5,234,564,749.20/82,039.72
  6. Step 6: Final answer
    x = 63,805.25

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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.