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Finding the Fourth Proportional to 32,835, 49,257.36 and 12,056.88

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Solution

The fourth proportional to 32,835, 49,257.36 and 12,056.88 is: 18,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,835 : 49,257.36 = 12,056.88 : x
  2. Step 2: Convert to fraction form
    32,835/49,257.36 = 12,056.88/x
  3. Step 3: Cross multiply
    32,835x = 49,257.36 × 12,056.88
  4. Step 4: Simplify right side
    32,835x = 593,890,078.64
  5. Step 5: Solve for x
    x = 593,890,078.64/32,835
  6. Step 6: Final answer
    x = 18,087.10

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Why These Related Problems?

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