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Finding the Fourth Proportional to 86,507.76, 119,380.72 and 48,782.02

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Solution

The fourth proportional to 86,507.76, 119,380.72 and 48,782.02 is: 67,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,507.76 : 119,380.72 = 48,782.02 : x
  2. Step 2: Convert to fraction form
    86,507.76/119,380.72 = 48,782.02/x
  3. Step 3: Cross multiply
    86,507.76x = 119,380.72 × 48,782.02
  4. Step 4: Simplify right side
    86,507.76x = 5,823,632,670.65
  5. Step 5: Solve for x
    x = 5,823,632,670.65/86,507.76
  6. Step 6: Final answer
    x = 67,319.19

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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.