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Finding the Fourth Proportional to 50,641.49, 75,769.49 and 30,577.13

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Solution

The fourth proportional to 50,641.49, 75,769.49 and 30,577.13 is: 45,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641.49 : 75,769.49 = 30,577.13 : x
  2. Step 2: Convert to fraction form
    50,641.49/75,769.49 = 30,577.13/x
  3. Step 3: Cross multiply
    50,641.49x = 75,769.49 × 30,577.13
  4. Step 4: Simplify right side
    50,641.49x = 2,316,813,014.03
  5. Step 5: Solve for x
    x = 2,316,813,014.03/50,641.49
  6. Step 6: Final answer
    x = 45,749.31

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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.