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Finding the Fourth Proportional to 83,696.76, 115,452.54 and 56,519.64

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Solution

The fourth proportional to 83,696.76, 115,452.54 and 56,519.64 is: 77,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,696.76 : 115,452.54 = 56,519.64 : x
  2. Step 2: Convert to fraction form
    83,696.76/115,452.54 = 56,519.64/x
  3. Step 3: Cross multiply
    83,696.76x = 115,452.54 × 56,519.64
  4. Step 4: Simplify right side
    83,696.76x = 6,525,335,997.89
  5. Step 5: Solve for x
    x = 6,525,335,997.89/83,696.76
  6. Step 6: Final answer
    x = 77,964.02

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1.5x scale

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.