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Finding the Fourth Proportional to 40,596, 56,022.48 and 22,446.74

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Solution

The fourth proportional to 40,596, 56,022.48 and 22,446.74 is: 30,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,596 : 56,022.48 = 22,446.74 : x
  2. Step 2: Convert to fraction form
    40,596/56,022.48 = 22,446.74/x
  3. Step 3: Cross multiply
    40,596x = 56,022.48 × 22,446.74
  4. Step 4: Simplify right side
    40,596x = 1,257,521,762.60
  5. Step 5: Solve for x
    x = 1,257,521,762.60/40,596
  6. Step 6: Final answer
    x = 30,976.49

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1.5x scale

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.