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Finding the Fourth Proportional to 54,362.96, 81,572.26 and 24,777

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Solution

The fourth proportional to 54,362.96, 81,572.26 and 24,777 is: 37,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,362.96 : 81,572.26 = 24,777 : x
  2. Step 2: Convert to fraction form
    54,362.96/81,572.26 = 24,777/x
  3. Step 3: Cross multiply
    54,362.96x = 81,572.26 × 24,777
  4. Step 4: Simplify right side
    54,362.96x = 2,021,115,886.02
  5. Step 5: Solve for x
    x = 2,021,115,886.02/54,362.96
  6. Step 6: Final answer
    x = 37,178.18

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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.