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Finding the Fourth Proportional to 32,851.80, 49,277.70 and 30,907.80

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Solution

The fourth proportional to 32,851.80, 49,277.70 and 30,907.80 is: 46,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851.80 : 49,277.70 = 30,907.80 : x
  2. Step 2: Convert to fraction form
    32,851.80/49,277.70 = 30,907.80/x
  3. Step 3: Cross multiply
    32,851.80x = 49,277.70 × 30,907.80
  4. Step 4: Simplify right side
    32,851.80x = 1,523,065,296.06
  5. Step 5: Solve for x
    x = 1,523,065,296.06/32,851.80
  6. Step 6: Final answer
    x = 46,361.70

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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.