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Finding the Fourth Proportional to 32,984, 45,518.08 and 19,736

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Solution

The fourth proportional to 32,984, 45,518.08 and 19,736 is: 27,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,984 : 45,518.08 = 19,736 : x
  2. Step 2: Convert to fraction form
    32,984/45,518.08 = 19,736/x
  3. Step 3: Cross multiply
    32,984x = 45,518.08 × 19,736
  4. Step 4: Simplify right side
    32,984x = 898,344,826.88
  5. Step 5: Solve for x
    x = 898,344,826.88/32,984
  6. Step 6: Final answer
    x = 27,235.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.