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Finding the Fourth Proportional to 40,661.46, 56,106 and 22,756.68

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Solution

The fourth proportional to 40,661.46, 56,106 and 22,756.68 is: 31,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,661.46 : 56,106 = 22,756.68 : x
  2. Step 2: Convert to fraction form
    40,661.46/56,106 = 22,756.68/x
  3. Step 3: Cross multiply
    40,661.46x = 56,106 × 22,756.68
  4. Step 4: Simplify right side
    40,661.46x = 1,276,786,288.08
  5. Step 5: Solve for x
    x = 1,276,786,288.08/40,661.46
  6. Step 6: Final answer
    x = 31,400.40

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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.