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Finding the Fourth Proportional to 33,503.55, 50,237.10 and 13,784.10

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Solution

The fourth proportional to 33,503.55, 50,237.10 and 13,784.10 is: 20,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,503.55 : 50,237.10 = 13,784.10 : x
  2. Step 2: Convert to fraction form
    33,503.55/50,237.10 = 13,784.10/x
  3. Step 3: Cross multiply
    33,503.55x = 50,237.10 × 13,784.10
  4. Step 4: Simplify right side
    33,503.55x = 692,473,210.11
  5. Step 5: Solve for x
    x = 692,473,210.11/33,503.55
  6. Step 6: Final answer
    x = 20,668.65

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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.