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Finding the Fourth Proportional to 30,438.56, 45,661.50 and 11,714.24

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Solution

The fourth proportional to 30,438.56, 45,661.50 and 11,714.24 is: 17,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.56 : 45,661.50 = 11,714.24 : x
  2. Step 2: Convert to fraction form
    30,438.56/45,661.50 = 11,714.24/x
  3. Step 3: Cross multiply
    30,438.56x = 45,661.50 × 11,714.24
  4. Step 4: Simplify right side
    30,438.56x = 534,889,769.76
  5. Step 5: Solve for x
    x = 534,889,769.76/30,438.56
  6. Step 6: Final answer
    x = 17,572.77

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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.