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Finding the Fourth Proportional to 32,179.68, 48,276.54 and 13,460.58

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Solution

The fourth proportional to 32,179.68, 48,276.54 and 13,460.58 is: 20,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179.68 : 48,276.54 = 13,460.58 : x
  2. Step 2: Convert to fraction form
    32,179.68/48,276.54 = 13,460.58/x
  3. Step 3: Cross multiply
    32,179.68x = 48,276.54 × 13,460.58
  4. Step 4: Simplify right side
    32,179.68x = 649,830,228.79
  5. Step 5: Solve for x
    x = 649,830,228.79/32,179.68
  6. Step 6: Final answer
    x = 20,193.81

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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.