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Finding the Fourth Proportional to 32,477.34, 44,819.29 and 19,048.96

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Solution

The fourth proportional to 32,477.34, 44,819.29 and 19,048.96 is: 26,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.34 : 44,819.29 = 19,048.96 : x
  2. Step 2: Convert to fraction form
    32,477.34/44,819.29 = 19,048.96/x
  3. Step 3: Cross multiply
    32,477.34x = 44,819.29 × 19,048.96
  4. Step 4: Simplify right side
    32,477.34x = 853,760,862.44
  5. Step 5: Solve for x
    x = 853,760,862.44/32,477.34
  6. Step 6: Final answer
    x = 26,287.89

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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.