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Finding the Fourth Proportional to 32,416.34, 48,596.77 and 12,440.16

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Solution

The fourth proportional to 32,416.34, 48,596.77 and 12,440.16 is: 18,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416.34 : 48,596.77 = 12,440.16 : x
  2. Step 2: Convert to fraction form
    32,416.34/48,596.77 = 12,440.16/x
  3. Step 3: Cross multiply
    32,416.34x = 48,596.77 × 12,440.16
  4. Step 4: Simplify right side
    32,416.34x = 604,551,594.28
  5. Step 5: Solve for x
    x = 604,551,594.28/32,416.34
  6. Step 6: Final answer
    x = 18,649.59

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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.