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Finding the Fourth Proportional to 30,134.16, 45,221.96 and 10,412.74

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Solution

The fourth proportional to 30,134.16, 45,221.96 and 10,412.74 is: 15,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,134.16 : 45,221.96 = 10,412.74 : x
  2. Step 2: Convert to fraction form
    30,134.16/45,221.96 = 10,412.74/x
  3. Step 3: Cross multiply
    30,134.16x = 45,221.96 × 10,412.74
  4. Step 4: Simplify right side
    30,134.16x = 470,884,511.77
  5. Step 5: Solve for x
    x = 470,884,511.77/30,134.16
  6. Step 6: Final answer
    x = 15,626.27

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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.