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Finding the Fourth Proportional to 102,578.94, 153,935.68 and 36,017.35

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Solution

The fourth proportional to 102,578.94, 153,935.68 and 36,017.35 is: 54,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,578.94 : 153,935.68 = 36,017.35 : x
  2. Step 2: Convert to fraction form
    102,578.94/153,935.68 = 36,017.35/x
  3. Step 3: Cross multiply
    102,578.94x = 153,935.68 × 36,017.35
  4. Step 4: Simplify right side
    102,578.94x = 5,544,355,264.05
  5. Step 5: Solve for x
    x = 5,544,355,264.05/102,578.94
  6. Step 6: Final answer
    x = 54,049.65

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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.