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Finding the Fourth Proportional to 30,416.64, 45,624.96 and 11,444.84

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Solution

The fourth proportional to 30,416.64, 45,624.96 and 11,444.84 is: 17,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.64 : 45,624.96 = 11,444.84 : x
  2. Step 2: Convert to fraction form
    30,416.64/45,624.96 = 11,444.84/x
  3. Step 3: Cross multiply
    30,416.64x = 45,624.96 × 11,444.84
  4. Step 4: Simplify right side
    30,416.64x = 522,170,605.04
  5. Step 5: Solve for x
    x = 522,170,605.04/30,416.64
  6. Step 6: Final answer
    x = 17,167.27

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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.