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Finding the Fourth Proportional to 40,546, 55,953.48 and 22,882

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Solution

The fourth proportional to 40,546, 55,953.48 and 22,882 is: 31,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,546 : 55,953.48 = 22,882 : x
  2. Step 2: Convert to fraction form
    40,546/55,953.48 = 22,882/x
  3. Step 3: Cross multiply
    40,546x = 55,953.48 × 22,882
  4. Step 4: Simplify right side
    40,546x = 1,280,327,529.36
  5. Step 5: Solve for x
    x = 1,280,327,529.36/40,546
  6. Step 6: Final answer
    x = 31,577.16

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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.