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Finding the Fourth Proportional to 66,129, 99,194.04 and 24,576

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Solution

The fourth proportional to 66,129, 99,194.04 and 24,576 is: 36,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,129 : 99,194.04 = 24,576 : x
  2. Step 2: Convert to fraction form
    66,129/99,194.04 = 24,576/x
  3. Step 3: Cross multiply
    66,129x = 99,194.04 × 24,576
  4. Step 4: Simplify right side
    66,129x = 2,437,792,727.04
  5. Step 5: Solve for x
    x = 2,437,792,727.04/66,129
  6. Step 6: Final answer
    x = 36,864.20

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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.