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Finding the Fourth Proportional to 35,527.40, 53,287 and 9,234.20

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Solution

The fourth proportional to 35,527.40, 53,287 and 9,234.20 is: 13,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,527.40 : 53,287 = 9,234.20 : x
  2. Step 2: Convert to fraction form
    35,527.40/53,287 = 9,234.20/x
  3. Step 3: Cross multiply
    35,527.40x = 53,287 × 9,234.20
  4. Step 4: Simplify right side
    35,527.40x = 492,062,815.40
  5. Step 5: Solve for x
    x = 492,062,815.40/35,527.40
  6. Step 6: Final answer
    x = 13,850.23

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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.