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Finding the Fourth Proportional to 31,050.57, 46,561.58 and 9,986.73

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Solution

The fourth proportional to 31,050.57, 46,561.58 and 9,986.73 is: 14,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050.57 : 46,561.58 = 9,986.73 : x
  2. Step 2: Convert to fraction form
    31,050.57/46,561.58 = 9,986.73/x
  3. Step 3: Cross multiply
    31,050.57x = 46,561.58 × 9,986.73
  4. Step 4: Simplify right side
    31,050.57x = 464,997,927.83
  5. Step 5: Solve for x
    x = 464,997,927.83/31,050.57
  6. Step 6: Final answer
    x = 14,975.50

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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.