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Finding the Fourth Proportional to 34,200, 51,296.64 and 16,681.92

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Solution

The fourth proportional to 34,200, 51,296.64 and 16,681.92 is: 25,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200 : 51,296.64 = 16,681.92 : x
  2. Step 2: Convert to fraction form
    34,200/51,296.64 = 16,681.92/x
  3. Step 3: Cross multiply
    34,200x = 51,296.64 × 16,681.92
  4. Step 4: Simplify right side
    34,200x = 855,726,444.75
  5. Step 5: Solve for x
    x = 855,726,444.75/34,200
  6. Step 6: Final answer
    x = 25,021.24

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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.