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Finding the Fourth Proportional to 49,780.94, 74,495.94 and 31,069.74

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Solution

The fourth proportional to 49,780.94, 74,495.94 and 31,069.74 is: 46,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,780.94 : 74,495.94 = 31,069.74 : x
  2. Step 2: Convert to fraction form
    49,780.94/74,495.94 = 31,069.74/x
  3. Step 3: Cross multiply
    49,780.94x = 74,495.94 × 31,069.74
  4. Step 4: Simplify right side
    49,780.94x = 2,314,569,486.86
  5. Step 5: Solve for x
    x = 2,314,569,486.86/49,780.94
  6. Step 6: Final answer
    x = 46,495.09

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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.