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Finding the Fourth Proportional to 42,492.92, 63,748.64 and 14,031.11

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Solution

The fourth proportional to 42,492.92, 63,748.64 and 14,031.11 is: 21,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,492.92 : 63,748.64 = 14,031.11 : x
  2. Step 2: Convert to fraction form
    42,492.92/63,748.64 = 14,031.11/x
  3. Step 3: Cross multiply
    42,492.92x = 63,748.64 × 14,031.11
  4. Step 4: Simplify right side
    42,492.92x = 894,464,269.41
  5. Step 5: Solve for x
    x = 894,464,269.41/42,492.92
  6. Step 6: Final answer
    x = 21,049.73

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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.