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Finding the Fourth Proportional to 32,358.51, 48,517.94 and 12,614

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Solution

The fourth proportional to 32,358.51, 48,517.94 and 12,614 is: 18,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,358.51 : 48,517.94 = 12,614 : x
  2. Step 2: Convert to fraction form
    32,358.51/48,517.94 = 12,614/x
  3. Step 3: Cross multiply
    32,358.51x = 48,517.94 × 12,614
  4. Step 4: Simplify right side
    32,358.51x = 612,005,342.46
  5. Step 5: Solve for x
    x = 612,005,342.46/32,358.51
  6. Step 6: Final answer
    x = 18,913.27

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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.