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Finding the Fourth Proportional to 32,119.98, 48,193.72 and 12,412.34

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Solution

The fourth proportional to 32,119.98, 48,193.72 and 12,412.34 is: 18,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,119.98 : 48,193.72 = 12,412.34 : x
  2. Step 2: Convert to fraction form
    32,119.98/48,193.72 = 12,412.34/x
  3. Step 3: Cross multiply
    32,119.98x = 48,193.72 × 12,412.34
  4. Step 4: Simplify right side
    32,119.98x = 598,196,838.50
  5. Step 5: Solve for x
    x = 598,196,838.50/32,119.98
  6. Step 6: Final answer
    x = 18,623.82

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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.