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Finding the Fourth Proportional to 32,043.20, 48,064.96 and 14,492.48

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Solution

The fourth proportional to 32,043.20, 48,064.96 and 14,492.48 is: 21,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.20 : 48,064.96 = 14,492.48 : x
  2. Step 2: Convert to fraction form
    32,043.20/48,064.96 = 14,492.48/x
  3. Step 3: Cross multiply
    32,043.20x = 48,064.96 × 14,492.48
  4. Step 4: Simplify right side
    32,043.20x = 696,580,471.50
  5. Step 5: Solve for x
    x = 696,580,471.50/32,043.20
  6. Step 6: Final answer
    x = 21,738.79

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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.