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Finding the Fourth Proportional to 42,994.94, 59,285.10 and 27,867.74

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Solution

The fourth proportional to 42,994.94, 59,285.10 and 27,867.74 is: 38,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,994.94 : 59,285.10 = 27,867.74 : x
  2. Step 2: Convert to fraction form
    42,994.94/59,285.10 = 27,867.74/x
  3. Step 3: Cross multiply
    42,994.94x = 59,285.10 × 27,867.74
  4. Step 4: Simplify right side
    42,994.94x = 1,652,141,752.67
  5. Step 5: Solve for x
    x = 1,652,141,752.67/42,994.94
  6. Step 6: Final answer
    x = 38,426.42

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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.