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Finding the Fourth Proportional to 30,013.56, 45,019.80 and 10,292.22

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Solution

The fourth proportional to 30,013.56, 45,019.80 and 10,292.22 is: 15,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.56 : 45,019.80 = 10,292.22 : x
  2. Step 2: Convert to fraction form
    30,013.56/45,019.80 = 10,292.22/x
  3. Step 3: Cross multiply
    30,013.56x = 45,019.80 × 10,292.22
  4. Step 4: Simplify right side
    30,013.56x = 463,353,685.96
  5. Step 5: Solve for x
    x = 463,353,685.96/30,013.56
  6. Step 6: Final answer
    x = 15,438.14

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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.