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Finding the Fourth Proportional to 31,287.27, 46,930.50 and 7,595

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Solution

The fourth proportional to 31,287.27, 46,930.50 and 7,595 is: 11,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.27 : 46,930.50 = 7,595 : x
  2. Step 2: Convert to fraction form
    31,287.27/46,930.50 = 7,595/x
  3. Step 3: Cross multiply
    31,287.27x = 46,930.50 × 7,595
  4. Step 4: Simplify right side
    31,287.27x = 356,437,147.50
  5. Step 5: Solve for x
    x = 356,437,147.50/31,287.27
  6. Step 6: Final answer
    x = 11,392.40

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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.