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Finding the Fourth Proportional to 42,992.56, 59,352 and 33,411.04

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Solution

The fourth proportional to 42,992.56, 59,352 and 33,411.04 is: 46,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,992.56 : 59,352 = 33,411.04 : x
  2. Step 2: Convert to fraction form
    42,992.56/59,352 = 33,411.04/x
  3. Step 3: Cross multiply
    42,992.56x = 59,352 × 33,411.04
  4. Step 4: Simplify right side
    42,992.56x = 1,983,012,046.08
  5. Step 5: Solve for x
    x = 1,983,012,046.08/42,992.56
  6. Step 6: Final answer
    x = 46,124.54

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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.