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Finding the Fourth Proportional to 40,705.52, 56,178.60 and 24,792.28

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Solution

The fourth proportional to 40,705.52, 56,178.60 and 24,792.28 is: 34,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,705.52 : 56,178.60 = 24,792.28 : x
  2. Step 2: Convert to fraction form
    40,705.52/56,178.60 = 24,792.28/x
  3. Step 3: Cross multiply
    40,705.52x = 56,178.60 × 24,792.28
  4. Step 4: Simplify right side
    40,705.52x = 1,392,795,581.21
  5. Step 5: Solve for x
    x = 1,392,795,581.21/40,705.52
  6. Step 6: Final answer
    x = 34,216.38

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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.