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Finding the Fourth Proportional to 54,166.92, 74,750.52 and 30,294

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Solution

The fourth proportional to 54,166.92, 74,750.52 and 30,294 is: 41,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,166.92 : 74,750.52 = 30,294 : x
  2. Step 2: Convert to fraction form
    54,166.92/74,750.52 = 30,294/x
  3. Step 3: Cross multiply
    54,166.92x = 74,750.52 × 30,294
  4. Step 4: Simplify right side
    54,166.92x = 2,264,492,252.88
  5. Step 5: Solve for x
    x = 2,264,492,252.88/54,166.92
  6. Step 6: Final answer
    x = 41,805.82

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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.