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Finding the Fourth Proportional to 30,172.96, 45,244.64 and 12,400.40

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Solution

The fourth proportional to 30,172.96, 45,244.64 and 12,400.40 is: 18,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.96 : 45,244.64 = 12,400.40 : x
  2. Step 2: Convert to fraction form
    30,172.96/45,244.64 = 12,400.40/x
  3. Step 3: Cross multiply
    30,172.96x = 45,244.64 × 12,400.40
  4. Step 4: Simplify right side
    30,172.96x = 561,051,633.86
  5. Step 5: Solve for x
    x = 561,051,633.86/30,172.96
  6. Step 6: Final answer
    x = 18,594.52

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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.