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Finding the Fourth Proportional to 30,459.90, 45,714.21 and 29,487.90

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Solution

The fourth proportional to 30,459.90, 45,714.21 and 29,487.90 is: 44,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.90 : 45,714.21 = 29,487.90 : x
  2. Step 2: Convert to fraction form
    30,459.90/45,714.21 = 29,487.90/x
  3. Step 3: Cross multiply
    30,459.90x = 45,714.21 × 29,487.90
  4. Step 4: Simplify right side
    30,459.90x = 1,348,016,053.06
  5. Step 5: Solve for x
    x = 1,348,016,053.06/30,459.90
  6. Step 6: Final answer
    x = 44,255.43

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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.