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Finding the Fourth Proportional to 32,193.96, 48,308.58 and 13,486.92

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Solution

The fourth proportional to 32,193.96, 48,308.58 and 13,486.92 is: 20,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.96 : 48,308.58 = 13,486.92 : x
  2. Step 2: Convert to fraction form
    32,193.96/48,308.58 = 13,486.92/x
  3. Step 3: Cross multiply
    32,193.96x = 48,308.58 × 13,486.92
  4. Step 4: Simplify right side
    32,193.96x = 651,533,953.77
  5. Step 5: Solve for x
    x = 651,533,953.77/32,193.96
  6. Step 6: Final answer
    x = 20,237.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.