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Finding the Fourth Proportional to 54,106.95, 74,640.36 and 36,202.71

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Solution

The fourth proportional to 54,106.95, 74,640.36 and 36,202.71 is: 49,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,106.95 : 74,640.36 = 36,202.71 : x
  2. Step 2: Convert to fraction form
    54,106.95/74,640.36 = 36,202.71/x
  3. Step 3: Cross multiply
    54,106.95x = 74,640.36 × 36,202.71
  4. Step 4: Simplify right side
    54,106.95x = 2,702,183,307.38
  5. Step 5: Solve for x
    x = 2,702,183,307.38/54,106.95
  6. Step 6: Final answer
    x = 49,941.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.