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Finding the Fourth Proportional to 86,397.82, 119,223.99 and 48,156.10

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Solution

The fourth proportional to 86,397.82, 119,223.99 and 48,156.10 is: 66,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,397.82 : 119,223.99 = 48,156.10 : x
  2. Step 2: Convert to fraction form
    86,397.82/119,223.99 = 48,156.10/x
  3. Step 3: Cross multiply
    86,397.82x = 119,223.99 × 48,156.10
  4. Step 4: Simplify right side
    86,397.82x = 5,741,362,384.84
  5. Step 5: Solve for x
    x = 5,741,362,384.84/86,397.82
  6. Step 6: Final answer
    x = 66,452.63

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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.