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Finding the Fourth Proportional to 30,411.44, 45,624.27 and 10,421.15

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Solution

The fourth proportional to 30,411.44, 45,624.27 and 10,421.15 is: 15,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.44 : 45,624.27 = 10,421.15 : x
  2. Step 2: Convert to fraction form
    30,411.44/45,624.27 = 10,421.15/x
  3. Step 3: Cross multiply
    30,411.44x = 45,624.27 × 10,421.15
  4. Step 4: Simplify right side
    30,411.44x = 475,457,081.08
  5. Step 5: Solve for x
    x = 475,457,081.08/30,411.44
  6. Step 6: Final answer
    x = 15,634.15

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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.