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Finding the Fourth Proportional to 30,385, 45,593.82 and 12,852.52

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Solution

The fourth proportional to 30,385, 45,593.82 and 12,852.52 is: 19,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385 : 45,593.82 = 12,852.52 : x
  2. Step 2: Convert to fraction form
    30,385/45,593.82 = 12,852.52/x
  3. Step 3: Cross multiply
    30,385x = 45,593.82 × 12,852.52
  4. Step 4: Simplify right side
    30,385x = 585,995,483.43
  5. Step 5: Solve for x
    x = 585,995,483.43/30,385
  6. Step 6: Final answer
    x = 19,285.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.