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Finding the Fourth Proportional to 32,969.84, 49,313.46 and 30,576.74

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Solution

The fourth proportional to 32,969.84, 49,313.46 and 30,576.74 is: 45,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.84 : 49,313.46 = 30,576.74 : x
  2. Step 2: Convert to fraction form
    32,969.84/49,313.46 = 30,576.74/x
  3. Step 3: Cross multiply
    32,969.84x = 49,313.46 × 30,576.74
  4. Step 4: Simplify right side
    32,969.84x = 1,507,844,897.94
  5. Step 5: Solve for x
    x = 1,507,844,897.94/32,969.84
  6. Step 6: Final answer
    x = 45,734.07

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1.5x scale

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.