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Finding the Fourth Proportional to 41,298.68, 56,960.46 and 27,848.63

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Solution

The fourth proportional to 41,298.68, 56,960.46 and 27,848.63 is: 38,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,298.68 : 56,960.46 = 27,848.63 : x
  2. Step 2: Convert to fraction form
    41,298.68/56,960.46 = 27,848.63/x
  3. Step 3: Cross multiply
    41,298.68x = 56,960.46 × 27,848.63
  4. Step 4: Simplify right side
    41,298.68x = 1,586,270,490.37
  5. Step 5: Solve for x
    x = 1,586,270,490.37/41,298.68
  6. Step 6: Final answer
    x = 38,409.72

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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.