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Finding the Fourth Proportional to 30,703.80, 46,055.70 and 10,983.90

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Solution

The fourth proportional to 30,703.80, 46,055.70 and 10,983.90 is: 16,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.80 : 46,055.70 = 10,983.90 : x
  2. Step 2: Convert to fraction form
    30,703.80/46,055.70 = 10,983.90/x
  3. Step 3: Cross multiply
    30,703.80x = 46,055.70 × 10,983.90
  4. Step 4: Simplify right side
    30,703.80x = 505,871,203.23
  5. Step 5: Solve for x
    x = 505,871,203.23/30,703.80
  6. Step 6: Final answer
    x = 16,475.85

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1.5x scale

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.