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Finding the Fourth Proportional to 32,457.87, 48,696.84 and 13,746.27

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Solution

The fourth proportional to 32,457.87, 48,696.84 and 13,746.27 is: 20,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.87 : 48,696.84 = 13,746.27 : x
  2. Step 2: Convert to fraction form
    32,457.87/48,696.84 = 13,746.27/x
  3. Step 3: Cross multiply
    32,457.87x = 48,696.84 × 13,746.27
  4. Step 4: Simplify right side
    32,457.87x = 669,399,910.79
  5. Step 5: Solve for x
    x = 669,399,910.79/32,457.87
  6. Step 6: Final answer
    x = 20,623.65

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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.