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Finding the Fourth Proportional to 33,527.40, 50,300.51 and 9,835.50

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Solution

The fourth proportional to 33,527.40, 50,300.51 and 9,835.50 is: 14,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,527.40 : 50,300.51 = 9,835.50 : x
  2. Step 2: Convert to fraction form
    33,527.40/50,300.51 = 9,835.50/x
  3. Step 3: Cross multiply
    33,527.40x = 50,300.51 × 9,835.50
  4. Step 4: Simplify right side
    33,527.40x = 494,730,616.93
  5. Step 5: Solve for x
    x = 494,730,616.93/33,527.40
  6. Step 6: Final answer
    x = 14,756.01

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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.