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Finding the Fourth Proportional to 30,737.46, 46,097.07 and 13,203.20

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Solution

The fourth proportional to 30,737.46, 46,097.07 and 13,203.20 is: 19,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,737.46 : 46,097.07 = 13,203.20 : x
  2. Step 2: Convert to fraction form
    30,737.46/46,097.07 = 13,203.20/x
  3. Step 3: Cross multiply
    30,737.46x = 46,097.07 × 13,203.20
  4. Step 4: Simplify right side
    30,737.46x = 608,628,604.14
  5. Step 5: Solve for x
    x = 608,628,604.14/30,737.46
  6. Step 6: Final answer
    x = 19,800.88

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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.