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Finding the Fourth Proportional to 34,007.02, 51,014.41 and 9,048.08

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Solution

The fourth proportional to 34,007.02, 51,014.41 and 9,048.08 is: 13,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,007.02 : 51,014.41 = 9,048.08 : x
  2. Step 2: Convert to fraction form
    34,007.02/51,014.41 = 9,048.08/x
  3. Step 3: Cross multiply
    34,007.02x = 51,014.41 × 9,048.08
  4. Step 4: Simplify right side
    34,007.02x = 461,582,462.83
  5. Step 5: Solve for x
    x = 461,582,462.83/34,007.02
  6. Step 6: Final answer
    x = 13,573.15

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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.