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Finding the Fourth Proportional to 30,423.80, 45,533.30 and 21,207.80

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Solution

The fourth proportional to 30,423.80, 45,533.30 and 21,207.80 is: 31,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.80 : 45,533.30 = 21,207.80 : x
  2. Step 2: Convert to fraction form
    30,423.80/45,533.30 = 21,207.80/x
  3. Step 3: Cross multiply
    30,423.80x = 45,533.30 × 21,207.80
  4. Step 4: Simplify right side
    30,423.80x = 965,661,119.74
  5. Step 5: Solve for x
    x = 965,661,119.74/30,423.80
  6. Step 6: Final answer
    x = 31,740.32

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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.