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Finding the Fourth Proportional to 35,978.81, 49,666.94 and 26,401.77

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Solution

The fourth proportional to 35,978.81, 49,666.94 and 26,401.77 is: 36,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.81 : 49,666.94 = 26,401.77 : x
  2. Step 2: Convert to fraction form
    35,978.81/49,666.94 = 26,401.77/x
  3. Step 3: Cross multiply
    35,978.81x = 49,666.94 × 26,401.77
  4. Step 4: Simplify right side
    35,978.81x = 1,311,295,192.49
  5. Step 5: Solve for x
    x = 1,311,295,192.49/35,978.81
  6. Step 6: Final answer
    x = 36,446.32

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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.