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Finding the Fourth Proportional to 51,585.94, 71,192.91 and 28,924.57

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Solution

The fourth proportional to 51,585.94, 71,192.91 and 28,924.57 is: 39,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,585.94 : 71,192.91 = 28,924.57 : x
  2. Step 2: Convert to fraction form
    51,585.94/71,192.91 = 28,924.57/x
  3. Step 3: Cross multiply
    51,585.94x = 71,192.91 × 28,924.57
  4. Step 4: Simplify right side
    51,585.94x = 2,059,224,308.80
  5. Step 5: Solve for x
    x = 2,059,224,308.80/51,585.94
  6. Step 6: Final answer
    x = 39,918.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.