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Finding the Fourth Proportional to 32,063.25, 48,094.29 and 12,346.08

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Solution

The fourth proportional to 32,063.25, 48,094.29 and 12,346.08 is: 18,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,063.25 : 48,094.29 = 12,346.08 : x
  2. Step 2: Convert to fraction form
    32,063.25/48,094.29 = 12,346.08/x
  3. Step 3: Cross multiply
    32,063.25x = 48,094.29 × 12,346.08
  4. Step 4: Simplify right side
    32,063.25x = 593,775,951.88
  5. Step 5: Solve for x
    x = 593,775,951.88/32,063.25
  6. Step 6: Final answer
    x = 18,518.89

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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.