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Finding the Fourth Proportional to 32,457, 44,790.66 and 19,209

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Solution

The fourth proportional to 32,457, 44,790.66 and 19,209 is: 26,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457 : 44,790.66 = 19,209 : x
  2. Step 2: Convert to fraction form
    32,457/44,790.66 = 19,209/x
  3. Step 3: Cross multiply
    32,457x = 44,790.66 × 19,209
  4. Step 4: Simplify right side
    32,457x = 860,383,787.94
  5. Step 5: Solve for x
    x = 860,383,787.94/32,457
  6. Step 6: Final answer
    x = 26,508.42

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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.