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Finding the Fourth Proportional to 40,809.21, 56,322.38 and 22,664.01

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Solution

The fourth proportional to 40,809.21, 56,322.38 and 22,664.01 is: 31,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,809.21 : 56,322.38 = 22,664.01 : x
  2. Step 2: Convert to fraction form
    40,809.21/56,322.38 = 22,664.01/x
  3. Step 3: Cross multiply
    40,809.21x = 56,322.38 × 22,664.01
  4. Step 4: Simplify right side
    40,809.21x = 1,276,490,758.59
  5. Step 5: Solve for x
    x = 1,276,490,758.59/40,809.21
  6. Step 6: Final answer
    x = 31,279.48

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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.