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Finding the Fourth Proportional to 31,303.86, 46,957.51 and 7,930.50

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Solution

The fourth proportional to 31,303.86, 46,957.51 and 7,930.50 is: 11,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.86 : 46,957.51 = 7,930.50 : x
  2. Step 2: Convert to fraction form
    31,303.86/46,957.51 = 7,930.50/x
  3. Step 3: Cross multiply
    31,303.86x = 46,957.51 × 7,930.50
  4. Step 4: Simplify right side
    31,303.86x = 372,396,533.06
  5. Step 5: Solve for x
    x = 372,396,533.06/31,303.86
  6. Step 6: Final answer
    x = 11,896.19

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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.