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Finding the Fourth Proportional to 34,619.51, 51,938.02 and 9,659.55

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Solution

The fourth proportional to 34,619.51, 51,938.02 and 9,659.55 is: 14,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,619.51 : 51,938.02 = 9,659.55 : x
  2. Step 2: Convert to fraction form
    34,619.51/51,938.02 = 9,659.55/x
  3. Step 3: Cross multiply
    34,619.51x = 51,938.02 × 9,659.55
  4. Step 4: Simplify right side
    34,619.51x = 501,698,107.93
  5. Step 5: Solve for x
    x = 501,698,107.93/34,619.51
  6. Step 6: Final answer
    x = 14,491.77

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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.