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Finding the Fourth Proportional to 32,543.94, 48,816.72 and 9,169.50

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Solution

The fourth proportional to 32,543.94, 48,816.72 and 9,169.50 is: 13,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,543.94 : 48,816.72 = 9,169.50 : x
  2. Step 2: Convert to fraction form
    32,543.94/48,816.72 = 9,169.50/x
  3. Step 3: Cross multiply
    32,543.94x = 48,816.72 × 9,169.50
  4. Step 4: Simplify right side
    32,543.94x = 447,624,914.04
  5. Step 5: Solve for x
    x = 447,624,914.04/32,543.94
  6. Step 6: Final answer
    x = 13,754.48

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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.