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Finding the Fourth Proportional to 32,492.60, 48,758.03 and 13,771.27

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Solution

The fourth proportional to 32,492.60, 48,758.03 and 13,771.27 is: 20,665.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.60 : 48,758.03 = 13,771.27 : x
  2. Step 2: Convert to fraction form
    32,492.60/48,758.03 = 13,771.27/x
  3. Step 3: Cross multiply
    32,492.60x = 48,758.03 × 13,771.27
  4. Step 4: Simplify right side
    32,492.60x = 671,459,995.80
  5. Step 5: Solve for x
    x = 671,459,995.80/32,492.60
  6. Step 6: Final answer
    x = 20,665.01

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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.