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Finding the Fourth Proportional to 52,111.74, 71,914.02 and 28,239

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Solution

The fourth proportional to 52,111.74, 71,914.02 and 28,239 is: 38,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.74 : 71,914.02 = 28,239 : x
  2. Step 2: Convert to fraction form
    52,111.74/71,914.02 = 28,239/x
  3. Step 3: Cross multiply
    52,111.74x = 71,914.02 × 28,239
  4. Step 4: Simplify right side
    52,111.74x = 2,030,780,010.78
  5. Step 5: Solve for x
    x = 2,030,780,010.78/52,111.74
  6. Step 6: Final answer
    x = 38,969.72

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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.