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Finding the Fourth Proportional to 32,409.72, 48,592.98 and 11,630.52

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Solution

The fourth proportional to 32,409.72, 48,592.98 and 11,630.52 is: 17,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.72 : 48,592.98 = 11,630.52 : x
  2. Step 2: Convert to fraction form
    32,409.72/48,592.98 = 11,630.52/x
  3. Step 3: Cross multiply
    32,409.72x = 48,592.98 × 11,630.52
  4. Step 4: Simplify right side
    32,409.72x = 565,161,625.75
  5. Step 5: Solve for x
    x = 565,161,625.75/32,409.72
  6. Step 6: Final answer
    x = 17,438.03

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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.