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Finding the Fourth Proportional to 32,383.60, 48,581.95 and 13,663.68

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Solution

The fourth proportional to 32,383.60, 48,581.95 and 13,663.68 is: 20,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,383.60 : 48,581.95 = 13,663.68 : x
  2. Step 2: Convert to fraction form
    32,383.60/48,581.95 = 13,663.68/x
  3. Step 3: Cross multiply
    32,383.60x = 48,581.95 × 13,663.68
  4. Step 4: Simplify right side
    32,383.60x = 663,808,218.58
  5. Step 5: Solve for x
    x = 663,808,218.58/32,383.60
  6. Step 6: Final answer
    x = 20,498.28

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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.