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Finding the Fourth Proportional to 30,472.30, 45,714.18 and 13,833.50

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Solution

The fourth proportional to 30,472.30, 45,714.18 and 13,833.50 is: 20,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.30 : 45,714.18 = 13,833.50 : x
  2. Step 2: Convert to fraction form
    30,472.30/45,714.18 = 13,833.50/x
  3. Step 3: Cross multiply
    30,472.30x = 45,714.18 × 13,833.50
  4. Step 4: Simplify right side
    30,472.30x = 632,387,109.03
  5. Step 5: Solve for x
    x = 632,387,109.03/30,472.30
  6. Step 6: Final answer
    x = 20,752.85

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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.