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Finding the Fourth Proportional to 30,022.92, 45,034.38 and 7,836.10

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Solution

The fourth proportional to 30,022.92, 45,034.38 and 7,836.10 is: 11,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.92 : 45,034.38 = 7,836.10 : x
  2. Step 2: Convert to fraction form
    30,022.92/45,034.38 = 7,836.10/x
  3. Step 3: Cross multiply
    30,022.92x = 45,034.38 × 7,836.10
  4. Step 4: Simplify right side
    30,022.92x = 352,893,875.73
  5. Step 5: Solve for x
    x = 352,893,875.73/30,022.92
  6. Step 6: Final answer
    x = 11,754.15

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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.