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Finding the Fourth Proportional to 58,441.38, 80,649.11 and 31,583.84

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Solution

The fourth proportional to 58,441.38, 80,649.11 and 31,583.84 is: 43,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,441.38 : 80,649.11 = 31,583.84 : x
  2. Step 2: Convert to fraction form
    58,441.38/80,649.11 = 31,583.84/x
  3. Step 3: Cross multiply
    58,441.38x = 80,649.11 × 31,583.84
  4. Step 4: Simplify right side
    58,441.38x = 2,547,208,866.96
  5. Step 5: Solve for x
    x = 2,547,208,866.96/58,441.38
  6. Step 6: Final answer
    x = 43,585.71

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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.