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Finding the Fourth Proportional to 85,696.30, 128,580.90 and 41,300.20

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Solution

The fourth proportional to 85,696.30, 128,580.90 and 41,300.20 is: 61,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,696.30 : 128,580.90 = 41,300.20 : x
  2. Step 2: Convert to fraction form
    85,696.30/128,580.90 = 41,300.20/x
  3. Step 3: Cross multiply
    85,696.30x = 128,580.90 × 41,300.20
  4. Step 4: Simplify right side
    85,696.30x = 5,310,416,886.18
  5. Step 5: Solve for x
    x = 5,310,416,886.18/85,696.30
  6. Step 6: Final answer
    x = 61,967.87

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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.