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Finding the Fourth Proportional to 58,431.96, 80,643.87 and 32,943.15

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Solution

The fourth proportional to 58,431.96, 80,643.87 and 32,943.15 is: 45,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,431.96 : 80,643.87 = 32,943.15 : x
  2. Step 2: Convert to fraction form
    58,431.96/80,643.87 = 32,943.15/x
  3. Step 3: Cross multiply
    58,431.96x = 80,643.87 × 32,943.15
  4. Step 4: Simplify right side
    58,431.96x = 2,656,663,105.99
  5. Step 5: Solve for x
    x = 2,656,663,105.99/58,431.96
  6. Step 6: Final answer
    x = 45,465.92

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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.