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Finding the Fourth Proportional to 74,463.16, 111,700.16 and 27,716

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Solution

The fourth proportional to 74,463.16, 111,700.16 and 27,716 is: 41,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,463.16 : 111,700.16 = 27,716 : x
  2. Step 2: Convert to fraction form
    74,463.16/111,700.16 = 27,716/x
  3. Step 3: Cross multiply
    74,463.16x = 111,700.16 × 27,716
  4. Step 4: Simplify right side
    74,463.16x = 3,095,881,634.56
  5. Step 5: Solve for x
    x = 3,095,881,634.56/74,463.16
  6. Step 6: Final answer
    x = 41,576.02

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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.