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Finding the Fourth Proportional to 76,310.10, 105,255.18 and 53,696.52

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Solution

The fourth proportional to 76,310.10, 105,255.18 and 53,696.52 is: 74,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,310.10 : 105,255.18 = 53,696.52 : x
  2. Step 2: Convert to fraction form
    76,310.10/105,255.18 = 53,696.52/x
  3. Step 3: Cross multiply
    76,310.10x = 105,255.18 × 53,696.52
  4. Step 4: Simplify right side
    76,310.10x = 5,651,836,877.97
  5. Step 5: Solve for x
    x = 5,651,836,877.97/76,310.10
  6. Step 6: Final answer
    x = 74,064.07

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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.