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Finding the Fourth Proportional to 40,463.74, 55,840 and 22,558.39

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Solution

The fourth proportional to 40,463.74, 55,840 and 22,558.39 is: 31,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,463.74 : 55,840 = 22,558.39 : x
  2. Step 2: Convert to fraction form
    40,463.74/55,840 = 22,558.39/x
  3. Step 3: Cross multiply
    40,463.74x = 55,840 × 22,558.39
  4. Step 4: Simplify right side
    40,463.74x = 1,259,660,497.60
  5. Step 5: Solve for x
    x = 1,259,660,497.60/40,463.74
  6. Step 6: Final answer
    x = 31,130.60

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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.