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Finding the Fourth Proportional to 30,753.50, 46,130.26 and 9,977

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Solution

The fourth proportional to 30,753.50, 46,130.26 and 9,977 is: 14,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,753.50 : 46,130.26 = 9,977 : x
  2. Step 2: Convert to fraction form
    30,753.50/46,130.26 = 9,977/x
  3. Step 3: Cross multiply
    30,753.50x = 46,130.26 × 9,977
  4. Step 4: Simplify right side
    30,753.50x = 460,241,604.02
  5. Step 5: Solve for x
    x = 460,241,604.02/30,753.50
  6. Step 6: Final answer
    x = 14,965.50

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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.