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Finding the Fourth Proportional to 40,406.46, 55,764.79 and 22,501.46

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Solution

The fourth proportional to 40,406.46, 55,764.79 and 22,501.46 is: 31,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,406.46 : 55,764.79 = 22,501.46 : x
  2. Step 2: Convert to fraction form
    40,406.46/55,764.79 = 22,501.46/x
  3. Step 3: Cross multiply
    40,406.46x = 55,764.79 × 22,501.46
  4. Step 4: Simplify right side
    40,406.46x = 1,254,789,191.59
  5. Step 5: Solve for x
    x = 1,254,789,191.59/40,406.46
  6. Step 6: Final answer
    x = 31,054.17

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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.