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Finding the Fourth Proportional to 30,203.42, 41,632.26 and 20,509.84

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Solution

The fourth proportional to 30,203.42, 41,632.26 and 20,509.84 is: 28,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203.42 : 41,632.26 = 20,509.84 : x
  2. Step 2: Convert to fraction form
    30,203.42/41,632.26 = 20,509.84/x
  3. Step 3: Cross multiply
    30,203.42x = 41,632.26 × 20,509.84
  4. Step 4: Simplify right side
    30,203.42x = 853,870,810.45
  5. Step 5: Solve for x
    x = 853,870,810.45/30,203.42
  6. Step 6: Final answer
    x = 28,270.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.