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Finding the Fourth Proportional to 44,130, 66,198.24 and 16,428

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Solution

The fourth proportional to 44,130, 66,198.24 and 16,428 is: 24,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,130 : 66,198.24 = 16,428 : x
  2. Step 2: Convert to fraction form
    44,130/66,198.24 = 16,428/x
  3. Step 3: Cross multiply
    44,130x = 66,198.24 × 16,428
  4. Step 4: Simplify right side
    44,130x = 1,087,504,686.72
  5. Step 5: Solve for x
    x = 1,087,504,686.72/44,130
  6. Step 6: Final answer
    x = 24,643.21

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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.