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Finding the Fourth Proportional to 30,530.54, 46,031.26 and 30,341

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Solution

The fourth proportional to 30,530.54, 46,031.26 and 30,341 is: 45,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.54 : 46,031.26 = 30,341 : x
  2. Step 2: Convert to fraction form
    30,530.54/46,031.26 = 30,341/x
  3. Step 3: Cross multiply
    30,530.54x = 46,031.26 × 30,341
  4. Step 4: Simplify right side
    30,530.54x = 1,396,634,307.96
  5. Step 5: Solve for x
    x = 1,396,634,307.96/30,530.54
  6. Step 6: Final answer
    x = 45,745.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.