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Finding the Fourth Proportional to 30,466.08, 45,703.92 and 12,936

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Solution

The fourth proportional to 30,466.08, 45,703.92 and 12,936 is: 19,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.08 : 45,703.92 = 12,936 : x
  2. Step 2: Convert to fraction form
    30,466.08/45,703.92 = 12,936/x
  3. Step 3: Cross multiply
    30,466.08x = 45,703.92 × 12,936
  4. Step 4: Simplify right side
    30,466.08x = 591,225,909.12
  5. Step 5: Solve for x
    x = 591,225,909.12/30,466.08
  6. Step 6: Final answer
    x = 19,406.04

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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.