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Finding the Fourth Proportional to 58,382.20, 80,564.10 and 34,511.08

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Solution

The fourth proportional to 58,382.20, 80,564.10 and 34,511.08 is: 47,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,382.20 : 80,564.10 = 34,511.08 : x
  2. Step 2: Convert to fraction form
    58,382.20/80,564.10 = 34,511.08/x
  3. Step 3: Cross multiply
    58,382.20x = 80,564.10 × 34,511.08
  4. Step 4: Simplify right side
    58,382.20x = 2,780,354,100.23
  5. Step 5: Solve for x
    x = 2,780,354,100.23/58,382.20
  6. Step 6: Final answer
    x = 47,623.32

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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.