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Finding the Fourth Proportional to 52,382.16, 78,481.56 and 35,688

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Solution

The fourth proportional to 52,382.16, 78,481.56 and 35,688 is: 53,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382.16 : 78,481.56 = 35,688 : x
  2. Step 2: Convert to fraction form
    52,382.16/78,481.56 = 35,688/x
  3. Step 3: Cross multiply
    52,382.16x = 78,481.56 × 35,688
  4. Step 4: Simplify right side
    52,382.16x = 2,800,849,913.28
  5. Step 5: Solve for x
    x = 2,800,849,913.28/52,382.16
  6. Step 6: Final answer
    x = 53,469.54

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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.