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Finding the Fourth Proportional to 40,892.69, 56,474.75 and 28,178.93

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Solution

The fourth proportional to 40,892.69, 56,474.75 and 28,178.93 is: 38,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,892.69 : 56,474.75 = 28,178.93 : x
  2. Step 2: Convert to fraction form
    40,892.69/56,474.75 = 28,178.93/x
  3. Step 3: Cross multiply
    40,892.69x = 56,474.75 × 28,178.93
  4. Step 4: Simplify right side
    40,892.69x = 1,591,398,027.02
  5. Step 5: Solve for x
    x = 1,591,398,027.02/40,892.69
  6. Step 6: Final answer
    x = 38,916.44

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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.