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Finding the Fourth Proportional to 32,078.34, 48,106.62 and 12,355.26

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Solution

The fourth proportional to 32,078.34, 48,106.62 and 12,355.26 is: 18,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.34 : 48,106.62 = 12,355.26 : x
  2. Step 2: Convert to fraction form
    32,078.34/48,106.62 = 12,355.26/x
  3. Step 3: Cross multiply
    32,078.34x = 48,106.62 × 12,355.26
  4. Step 4: Simplify right side
    32,078.34x = 594,369,797.82
  5. Step 5: Solve for x
    x = 594,369,797.82/32,078.34
  6. Step 6: Final answer
    x = 18,528.70

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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.