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Finding the Fourth Proportional to 40,112.84, 55,322.16 and 30,064.88

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Solution

The fourth proportional to 40,112.84, 55,322.16 and 30,064.88 is: 41,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,112.84 : 55,322.16 = 30,064.88 : x
  2. Step 2: Convert to fraction form
    40,112.84/55,322.16 = 30,064.88/x
  3. Step 3: Cross multiply
    40,112.84x = 55,322.16 × 30,064.88
  4. Step 4: Simplify right side
    40,112.84x = 1,663,254,101.74
  5. Step 5: Solve for x
    x = 1,663,254,101.74/40,112.84
  6. Step 6: Final answer
    x = 41,464.38

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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.