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Finding the Fourth Proportional to 30,383.71, 45,575.17 and 10,393

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Solution

The fourth proportional to 30,383.71, 45,575.17 and 10,393 is: 15,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,383.71 : 45,575.17 = 10,393 : x
  2. Step 2: Convert to fraction form
    30,383.71/45,575.17 = 10,393/x
  3. Step 3: Cross multiply
    30,383.71x = 45,575.17 × 10,393
  4. Step 4: Simplify right side
    30,383.71x = 473,662,741.81
  5. Step 5: Solve for x
    x = 473,662,741.81/30,383.71
  6. Step 6: Final answer
    x = 15,589.36

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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.