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Finding the Fourth Proportional to 30,269.28, 45,411.15 and 9,492.78

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Solution

The fourth proportional to 30,269.28, 45,411.15 and 9,492.78 is: 14,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.28 : 45,411.15 = 9,492.78 : x
  2. Step 2: Convert to fraction form
    30,269.28/45,411.15 = 9,492.78/x
  3. Step 3: Cross multiply
    30,269.28x = 45,411.15 × 9,492.78
  4. Step 4: Simplify right side
    30,269.28x = 431,078,056.50
  5. Step 5: Solve for x
    x = 431,078,056.50/30,269.28
  6. Step 6: Final answer
    x = 14,241.44

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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.