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Finding the Fourth Proportional to 54,633.32, 75,409.08 and 31,977.08

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Solution

The fourth proportional to 54,633.32, 75,409.08 and 31,977.08 is: 44,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,633.32 : 75,409.08 = 31,977.08 : x
  2. Step 2: Convert to fraction form
    54,633.32/75,409.08 = 31,977.08/x
  3. Step 3: Cross multiply
    54,633.32x = 75,409.08 × 31,977.08
  4. Step 4: Simplify right side
    54,633.32x = 2,411,362,183.89
  5. Step 5: Solve for x
    x = 2,411,362,183.89/54,633.32
  6. Step 6: Final answer
    x = 44,137.21

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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.