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Finding the Fourth Proportional to 86,298.84, 119,078.49 and 48,057.93

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Solution

The fourth proportional to 86,298.84, 119,078.49 and 48,057.93 is: 66,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,298.84 : 119,078.49 = 48,057.93 : x
  2. Step 2: Convert to fraction form
    86,298.84/119,078.49 = 48,057.93/x
  3. Step 3: Cross multiply
    86,298.84x = 119,078.49 × 48,057.93
  4. Step 4: Simplify right side
    86,298.84x = 5,722,665,736.93
  5. Step 5: Solve for x
    x = 5,722,665,736.93/86,298.84
  6. Step 6: Final answer
    x = 66,312.20

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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.