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Finding the Fourth Proportional to 30,136.86, 45,208.94 and 12,606.84

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Solution

The fourth proportional to 30,136.86, 45,208.94 and 12,606.84 is: 18,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.86 : 45,208.94 = 12,606.84 : x
  2. Step 2: Convert to fraction form
    30,136.86/45,208.94 = 12,606.84/x
  3. Step 3: Cross multiply
    30,136.86x = 45,208.94 × 12,606.84
  4. Step 4: Simplify right side
    30,136.86x = 569,941,810.12
  5. Step 5: Solve for x
    x = 569,941,810.12/30,136.86
  6. Step 6: Final answer
    x = 18,911.78

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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.