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Finding the Fourth Proportional to 30,294, 45,410.76 and 12,773.52

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Solution

The fourth proportional to 30,294, 45,410.76 and 12,773.52 is: 19,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 45,410.76 = 12,773.52 : x
  2. Step 2: Convert to fraction form
    30,294/45,410.76 = 12,773.52/x
  3. Step 3: Cross multiply
    30,294x = 45,410.76 × 12,773.52
  4. Step 4: Simplify right side
    30,294x = 580,055,251.08
  5. Step 5: Solve for x
    x = 580,055,251.08/30,294
  6. Step 6: Final answer
    x = 19,147.53

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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.