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Finding the Fourth Proportional to 50,809.84, 70,129.24 and 33,814.80

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Solution

The fourth proportional to 50,809.84, 70,129.24 and 33,814.80 is: 46,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,809.84 : 70,129.24 = 33,814.80 : x
  2. Step 2: Convert to fraction form
    50,809.84/70,129.24 = 33,814.80/x
  3. Step 3: Cross multiply
    50,809.84x = 70,129.24 × 33,814.80
  4. Step 4: Simplify right side
    50,809.84x = 2,371,406,140.22
  5. Step 5: Solve for x
    x = 2,371,406,140.22/50,809.84
  6. Step 6: Final answer
    x = 46,672.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.