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Finding the Fourth Proportional to 40,807.74, 56,313.24 and 22,903.76

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Solution

The fourth proportional to 40,807.74, 56,313.24 and 22,903.76 is: 31,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,807.74 : 56,313.24 = 22,903.76 : x
  2. Step 2: Convert to fraction form
    40,807.74/56,313.24 = 22,903.76/x
  3. Step 3: Cross multiply
    40,807.74x = 56,313.24 × 22,903.76
  4. Step 4: Simplify right side
    40,807.74x = 1,289,784,933.78
  5. Step 5: Solve for x
    x = 1,289,784,933.78/40,807.74
  6. Step 6: Final answer
    x = 31,606.38

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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.