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Finding the Fourth Proportional to 49,485, 74,041.50 and 34,722.72

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Solution

The fourth proportional to 49,485, 74,041.50 and 34,722.72 is: 51,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,485 : 74,041.50 = 34,722.72 : x
  2. Step 2: Convert to fraction form
    49,485/74,041.50 = 34,722.72/x
  3. Step 3: Cross multiply
    49,485x = 74,041.50 × 34,722.72
  4. Step 4: Simplify right side
    49,485x = 2,570,922,272.88
  5. Step 5: Solve for x
    x = 2,570,922,272.88/49,485
  6. Step 6: Final answer
    x = 51,953.57

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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.