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Finding the Fourth Proportional to 58,181.49, 80,298 and 35,515.74

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Solution

The fourth proportional to 58,181.49, 80,298 and 35,515.74 is: 49,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,181.49 : 80,298 = 35,515.74 : x
  2. Step 2: Convert to fraction form
    58,181.49/80,298 = 35,515.74/x
  3. Step 3: Cross multiply
    58,181.49x = 80,298 × 35,515.74
  4. Step 4: Simplify right side
    58,181.49x = 2,851,842,890.52
  5. Step 5: Solve for x
    x = 2,851,842,890.52/58,181.49
  6. Step 6: Final answer
    x = 49,016.33

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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.