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Finding the Fourth Proportional to 30,021.80, 45,031.88 and 10,313.96

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Solution

The fourth proportional to 30,021.80, 45,031.88 and 10,313.96 is: 15,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021.80 : 45,031.88 = 10,313.96 : x
  2. Step 2: Convert to fraction form
    30,021.80/45,031.88 = 10,313.96/x
  3. Step 3: Cross multiply
    30,021.80x = 45,031.88 × 10,313.96
  4. Step 4: Simplify right side
    30,021.80x = 464,456,809.67
  5. Step 5: Solve for x
    x = 464,456,809.67/30,021.80
  6. Step 6: Final answer
    x = 15,470.65

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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.