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Finding the Fourth Proportional to 30,011.04, 45,016.56 and 9,234

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Solution

The fourth proportional to 30,011.04, 45,016.56 and 9,234 is: 13,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.04 : 45,016.56 = 9,234 : x
  2. Step 2: Convert to fraction form
    30,011.04/45,016.56 = 9,234/x
  3. Step 3: Cross multiply
    30,011.04x = 45,016.56 × 9,234
  4. Step 4: Simplify right side
    30,011.04x = 415,682,915.04
  5. Step 5: Solve for x
    x = 415,682,915.04/30,011.04
  6. Step 6: Final answer
    x = 13,851.00

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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.