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Finding the Fourth Proportional to 86,840, 119,844.24 and 48,599.22

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Solution

The fourth proportional to 86,840, 119,844.24 and 48,599.22 is: 67,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,840 : 119,844.24 = 48,599.22 : x
  2. Step 2: Convert to fraction form
    86,840/119,844.24 = 48,599.22/x
  3. Step 3: Cross multiply
    86,840x = 119,844.24 × 48,599.22
  4. Step 4: Simplify right side
    86,840x = 5,824,336,585.49
  5. Step 5: Solve for x
    x = 5,824,336,585.49/86,840
  6. Step 6: Final answer
    x = 67,069.74

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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.