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Finding the Fourth Proportional to 48,476.44, 72,714.66 and 13,416.09

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Solution

The fourth proportional to 48,476.44, 72,714.66 and 13,416.09 is: 20,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476.44 : 72,714.66 = 13,416.09 : x
  2. Step 2: Convert to fraction form
    48,476.44/72,714.66 = 13,416.09/x
  3. Step 3: Cross multiply
    48,476.44x = 72,714.66 × 13,416.09
  4. Step 4: Simplify right side
    48,476.44x = 975,546,422.88
  5. Step 5: Solve for x
    x = 975,546,422.88/48,476.44
  6. Step 6: Final answer
    x = 20,124.14

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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.