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Finding the Fourth Proportional to 34,047.61, 51,007.02 and 19,267.13

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Solution

The fourth proportional to 34,047.61, 51,007.02 and 19,267.13 is: 28,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047.61 : 51,007.02 = 19,267.13 : x
  2. Step 2: Convert to fraction form
    34,047.61/51,007.02 = 19,267.13/x
  3. Step 3: Cross multiply
    34,047.61x = 51,007.02 × 19,267.13
  4. Step 4: Simplify right side
    34,047.61x = 982,758,940.52
  5. Step 5: Solve for x
    x = 982,758,940.52/34,047.61
  6. Step 6: Final answer
    x = 28,864.26

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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.