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Finding the Fourth Proportional to 32,963.52, 49,205.49 and 30,527.04

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Solution

The fourth proportional to 32,963.52, 49,205.49 and 30,527.04 is: 45,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.52 : 49,205.49 = 30,527.04 : x
  2. Step 2: Convert to fraction form
    32,963.52/49,205.49 = 30,527.04/x
  3. Step 3: Cross multiply
    32,963.52x = 49,205.49 × 30,527.04
  4. Step 4: Simplify right side
    32,963.52x = 1,502,097,961.45
  5. Step 5: Solve for x
    x = 1,502,097,961.45/32,963.52
  6. Step 6: Final answer
    x = 45,568.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.