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Finding the Fourth Proportional to 30,673.49, 45,741.78 and 30,393.23

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Solution

The fourth proportional to 30,673.49, 45,741.78 and 30,393.23 is: 45,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,673.49 : 45,741.78 = 30,393.23 : x
  2. Step 2: Convert to fraction form
    30,673.49/45,741.78 = 30,393.23/x
  3. Step 3: Cross multiply
    30,673.49x = 45,741.78 × 30,393.23
  4. Step 4: Simplify right side
    30,673.49x = 1,390,240,211.44
  5. Step 5: Solve for x
    x = 1,390,240,211.44/30,673.49
  6. Step 6: Final answer
    x = 45,323.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.