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Finding the Fourth Proportional to 30,136.32, 45,189.90 and 10,407.96

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Solution

The fourth proportional to 30,136.32, 45,189.90 and 10,407.96 is: 15,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,136.32 : 45,189.90 = 10,407.96 : x
  2. Step 2: Convert to fraction form
    30,136.32/45,189.90 = 10,407.96/x
  3. Step 3: Cross multiply
    30,136.32x = 45,189.90 × 10,407.96
  4. Step 4: Simplify right side
    30,136.32x = 470,334,671.60
  5. Step 5: Solve for x
    x = 470,334,671.60/30,136.32
  6. Step 6: Final answer
    x = 15,606.90

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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.