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Finding the Fourth Proportional to 30,219.24, 45,312.22 and 10,496.20

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Solution

The fourth proportional to 30,219.24, 45,312.22 and 10,496.20 is: 15,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.24 : 45,312.22 = 10,496.20 : x
  2. Step 2: Convert to fraction form
    30,219.24/45,312.22 = 10,496.20/x
  3. Step 3: Cross multiply
    30,219.24x = 45,312.22 × 10,496.20
  4. Step 4: Simplify right side
    30,219.24x = 475,606,123.56
  5. Step 5: Solve for x
    x = 475,606,123.56/30,219.24
  6. Step 6: Final answer
    x = 15,738.52

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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.