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Finding the Fourth Proportional to 44,114.48, 66,184.92 and 16,034

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Solution

The fourth proportional to 44,114.48, 66,184.92 and 16,034 is: 24,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,114.48 : 66,184.92 = 16,034 : x
  2. Step 2: Convert to fraction form
    44,114.48/66,184.92 = 16,034/x
  3. Step 3: Cross multiply
    44,114.48x = 66,184.92 × 16,034
  4. Step 4: Simplify right side
    44,114.48x = 1,061,209,007.28
  5. Step 5: Solve for x
    x = 1,061,209,007.28/44,114.48
  6. Step 6: Final answer
    x = 24,055.80

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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.