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Finding the Fourth Proportional to 30,473.20, 45,714.36 and 9,701.36

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Solution

The fourth proportional to 30,473.20, 45,714.36 and 9,701.36 is: 14,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,473.20 : 45,714.36 = 9,701.36 : x
  2. Step 2: Convert to fraction form
    30,473.20/45,714.36 = 9,701.36/x
  3. Step 3: Cross multiply
    30,473.20x = 45,714.36 × 9,701.36
  4. Step 4: Simplify right side
    30,473.20x = 443,491,463.53
  5. Step 5: Solve for x
    x = 443,491,463.53/30,473.20
  6. Step 6: Final answer
    x = 14,553.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.