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Finding the Fourth Proportional to 30,270.88, 45,406.32 and 9,496

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Solution

The fourth proportional to 30,270.88, 45,406.32 and 9,496 is: 14,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270.88 : 45,406.32 = 9,496 : x
  2. Step 2: Convert to fraction form
    30,270.88/45,406.32 = 9,496/x
  3. Step 3: Cross multiply
    30,270.88x = 45,406.32 × 9,496
  4. Step 4: Simplify right side
    30,270.88x = 431,178,414.72
  5. Step 5: Solve for x
    x = 431,178,414.72/30,270.88
  6. Step 6: Final answer
    x = 14,244.00

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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.