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Finding the Fourth Proportional to 30,325.44, 45,492.96 and 9,542.40

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Solution

The fourth proportional to 30,325.44, 45,492.96 and 9,542.40 is: 14,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,325.44 : 45,492.96 = 9,542.40 : x
  2. Step 2: Convert to fraction form
    30,325.44/45,492.96 = 9,542.40/x
  3. Step 3: Cross multiply
    30,325.44x = 45,492.96 × 9,542.40
  4. Step 4: Simplify right side
    30,325.44x = 434,112,021.50
  5. Step 5: Solve for x
    x = 434,112,021.50/30,325.44
  6. Step 6: Final answer
    x = 14,315.11

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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.