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Finding the Fourth Proportional to 30,178.43, 45,267.65 and 12,409.01

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Solution

The fourth proportional to 30,178.43, 45,267.65 and 12,409.01 is: 18,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.43 : 45,267.65 = 12,409.01 : x
  2. Step 2: Convert to fraction form
    30,178.43/45,267.65 = 12,409.01/x
  3. Step 3: Cross multiply
    30,178.43x = 45,267.65 × 12,409.01
  4. Step 4: Simplify right side
    30,178.43x = 561,726,659.48
  5. Step 5: Solve for x
    x = 561,726,659.48/30,178.43
  6. Step 6: Final answer
    x = 18,613.52

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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.