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Finding the Fourth Proportional to 40,376.56, 55,688.04 and 26,234

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Solution

The fourth proportional to 40,376.56, 55,688.04 and 26,234 is: 36,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,376.56 : 55,688.04 = 26,234 : x
  2. Step 2: Convert to fraction form
    40,376.56/55,688.04 = 26,234/x
  3. Step 3: Cross multiply
    40,376.56x = 55,688.04 × 26,234
  4. Step 4: Simplify right side
    40,376.56x = 1,460,920,041.36
  5. Step 5: Solve for x
    x = 1,460,920,041.36/40,376.56
  6. Step 6: Final answer
    x = 36,182.38

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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.