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Finding the Fourth Proportional to 76,083.93, 114,165.70 and 31,138.65

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Solution

The fourth proportional to 76,083.93, 114,165.70 and 31,138.65 is: 46,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,083.93 : 114,165.70 = 31,138.65 : x
  2. Step 2: Convert to fraction form
    76,083.93/114,165.70 = 31,138.65/x
  3. Step 3: Cross multiply
    76,083.93x = 114,165.70 × 31,138.65
  4. Step 4: Simplify right side
    76,083.93x = 3,554,965,774.31
  5. Step 5: Solve for x
    x = 3,554,965,774.31/76,083.93
  6. Step 6: Final answer
    x = 46,724.27

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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.