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Finding the Fourth Proportional to 117,283.96, 175,926.09 and 28,537.48

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Solution

The fourth proportional to 117,283.96, 175,926.09 and 28,537.48 is: 42,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,283.96 : 175,926.09 = 28,537.48 : x
  2. Step 2: Convert to fraction form
    117,283.96/175,926.09 = 28,537.48/x
  3. Step 3: Cross multiply
    117,283.96x = 175,926.09 × 28,537.48
  4. Step 4: Simplify right side
    117,283.96x = 5,020,487,274.85
  5. Step 5: Solve for x
    x = 5,020,487,274.85/117,283.96
  6. Step 6: Final answer
    x = 42,806.26

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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.