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Finding the Fourth Proportional to 129,963.77, 194,952.53 and 36,476.81

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Solution

The fourth proportional to 129,963.77, 194,952.53 and 36,476.81 is: 54,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,963.77 : 194,952.53 = 36,476.81 : x
  2. Step 2: Convert to fraction form
    129,963.77/194,952.53 = 36,476.81/x
  3. Step 3: Cross multiply
    129,963.77x = 194,952.53 × 36,476.81
  4. Step 4: Simplify right side
    129,963.77x = 7,111,246,395.83
  5. Step 5: Solve for x
    x = 7,111,246,395.83/129,963.77
  6. Step 6: Final answer
    x = 54,717.14

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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.