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Finding the Fourth Proportional to 32,068.46, 48,113.15 and 15,429.84

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Solution

The fourth proportional to 32,068.46, 48,113.15 and 15,429.84 is: 23,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,068.46 : 48,113.15 = 15,429.84 : x
  2. Step 2: Convert to fraction form
    32,068.46/48,113.15 = 15,429.84/x
  3. Step 3: Cross multiply
    32,068.46x = 48,113.15 × 15,429.84
  4. Step 4: Simplify right side
    32,068.46x = 742,378,129.25
  5. Step 5: Solve for x
    x = 742,378,129.25/32,068.46
  6. Step 6: Final answer
    x = 23,149.79

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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.