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Finding the Fourth Proportional to 30,142.94, 41,632.38 and 24,114.11

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Solution

The fourth proportional to 30,142.94, 41,632.38 and 24,114.11 is: 33,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.94 : 41,632.38 = 24,114.11 : x
  2. Step 2: Convert to fraction form
    30,142.94/41,632.38 = 24,114.11/x
  3. Step 3: Cross multiply
    30,142.94x = 41,632.38 × 24,114.11
  4. Step 4: Simplify right side
    30,142.94x = 1,003,927,582.72
  5. Step 5: Solve for x
    x = 1,003,927,582.72/30,142.94
  6. Step 6: Final answer
    x = 33,305.57

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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.