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Finding the Fourth Proportional to 30,493.16, 45,745.50 and 12,962.92

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Solution

The fourth proportional to 30,493.16, 45,745.50 and 12,962.92 is: 19,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.16 : 45,745.50 = 12,962.92 : x
  2. Step 2: Convert to fraction form
    30,493.16/45,745.50 = 12,962.92/x
  3. Step 3: Cross multiply
    30,493.16x = 45,745.50 × 12,962.92
  4. Step 4: Simplify right side
    30,493.16x = 592,995,256.86
  5. Step 5: Solve for x
    x = 592,995,256.86/30,493.16
  6. Step 6: Final answer
    x = 19,446.83

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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.