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Finding the Fourth Proportional to 34,492.86, 51,696.03 and 14,748.24

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Solution

The fourth proportional to 34,492.86, 51,696.03 and 14,748.24 is: 22,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,492.86 : 51,696.03 = 14,748.24 : x
  2. Step 2: Convert to fraction form
    34,492.86/51,696.03 = 14,748.24/x
  3. Step 3: Cross multiply
    34,492.86x = 51,696.03 × 14,748.24
  4. Step 4: Simplify right side
    34,492.86x = 762,425,457.49
  5. Step 5: Solve for x
    x = 762,425,457.49/34,492.86
  6. Step 6: Final answer
    x = 22,103.86

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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.