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Finding the Fourth Proportional to 44,186.16, 66,277.08 and 16,482

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Solution

The fourth proportional to 44,186.16, 66,277.08 and 16,482 is: 24,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,186.16 : 66,277.08 = 16,482 : x
  2. Step 2: Convert to fraction form
    44,186.16/66,277.08 = 16,482/x
  3. Step 3: Cross multiply
    44,186.16x = 66,277.08 × 16,482
  4. Step 4: Simplify right side
    44,186.16x = 1,092,378,832.56
  5. Step 5: Solve for x
    x = 1,092,378,832.56/44,186.16
  6. Step 6: Final answer
    x = 24,722.19

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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.