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Finding the Fourth Proportional to 30,830.37, 46,227.89 and 9,477.52

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Solution

The fourth proportional to 30,830.37, 46,227.89 and 9,477.52 is: 14,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.37 : 46,227.89 = 9,477.52 : x
  2. Step 2: Convert to fraction form
    30,830.37/46,227.89 = 9,477.52/x
  3. Step 3: Cross multiply
    30,830.37x = 46,227.89 × 9,477.52
  4. Step 4: Simplify right side
    30,830.37x = 438,125,704.65
  5. Step 5: Solve for x
    x = 438,125,704.65/30,830.37
  6. Step 6: Final answer
    x = 14,210.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.