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Finding the Fourth Proportional to 58,384.50, 80,570.70 and 33,234

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Solution

The fourth proportional to 58,384.50, 80,570.70 and 33,234 is: 45,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,384.50 : 80,570.70 = 33,234 : x
  2. Step 2: Convert to fraction form
    58,384.50/80,570.70 = 33,234/x
  3. Step 3: Cross multiply
    58,384.50x = 80,570.70 × 33,234
  4. Step 4: Simplify right side
    58,384.50x = 2,677,686,643.80
  5. Step 5: Solve for x
    x = 2,677,686,643.80/58,384.50
  6. Step 6: Final answer
    x = 45,862.97

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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.