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Finding the Fourth Proportional to 30,950, 46,365.24 and 18,480.02

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Solution

The fourth proportional to 30,950, 46,365.24 and 18,480.02 is: 27,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950 : 46,365.24 = 18,480.02 : x
  2. Step 2: Convert to fraction form
    30,950/46,365.24 = 18,480.02/x
  3. Step 3: Cross multiply
    30,950x = 46,365.24 × 18,480.02
  4. Step 4: Simplify right side
    30,950x = 856,830,562.50
  5. Step 5: Solve for x
    x = 856,830,562.50/30,950
  6. Step 6: Final answer
    x = 27,684.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.