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Finding the Fourth Proportional to 54,083.12, 80,927.32 and 31,907.12

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Solution

The fourth proportional to 54,083.12, 80,927.32 and 31,907.12 is: 47,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,083.12 : 80,927.32 = 31,907.12 : x
  2. Step 2: Convert to fraction form
    54,083.12/80,927.32 = 31,907.12/x
  3. Step 3: Cross multiply
    54,083.12x = 80,927.32 × 31,907.12
  4. Step 4: Simplify right side
    54,083.12x = 2,582,157,710.52
  5. Step 5: Solve for x
    x = 2,582,157,710.52/54,083.12
  6. Step 6: Final answer
    x = 47,744.24

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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.