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Finding the Fourth Proportional to 30,751.87, 46,134.29 and 9,973.75

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Solution

The fourth proportional to 30,751.87, 46,134.29 and 9,973.75 is: 14,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.87 : 46,134.29 = 9,973.75 : x
  2. Step 2: Convert to fraction form
    30,751.87/46,134.29 = 9,973.75/x
  3. Step 3: Cross multiply
    30,751.87x = 46,134.29 × 9,973.75
  4. Step 4: Simplify right side
    30,751.87x = 460,131,874.89
  5. Step 5: Solve for x
    x = 460,131,874.89/30,751.87
  6. Step 6: Final answer
    x = 14,962.73

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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.