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Finding the Fourth Proportional to 30,022.68, 45,034.02 and 9,246

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Solution

The fourth proportional to 30,022.68, 45,034.02 and 9,246 is: 13,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.68 : 45,034.02 = 9,246 : x
  2. Step 2: Convert to fraction form
    30,022.68/45,034.02 = 9,246/x
  3. Step 3: Cross multiply
    30,022.68x = 45,034.02 × 9,246
  4. Step 4: Simplify right side
    30,022.68x = 416,384,548.92
  5. Step 5: Solve for x
    x = 416,384,548.92/30,022.68
  6. Step 6: Final answer
    x = 13,869.00

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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.