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Finding the Fourth Proportional to 30,098.33, 45,147.87 and 9,037.14

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Solution

The fourth proportional to 30,098.33, 45,147.87 and 9,037.14 is: 13,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.33 : 45,147.87 = 9,037.14 : x
  2. Step 2: Convert to fraction form
    30,098.33/45,147.87 = 9,037.14/x
  3. Step 3: Cross multiply
    30,098.33x = 45,147.87 × 9,037.14
  4. Step 4: Simplify right side
    30,098.33x = 408,007,617.64
  5. Step 5: Solve for x
    x = 408,007,617.64/30,098.33
  6. Step 6: Final answer
    x = 13,555.82

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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.