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Finding the Fourth Proportional to 86,580.42, 129,883.61 and 30,410.63

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Solution

The fourth proportional to 86,580.42, 129,883.61 and 30,410.63 is: 45,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580.42 : 129,883.61 = 30,410.63 : x
  2. Step 2: Convert to fraction form
    86,580.42/129,883.61 = 30,410.63/x
  3. Step 3: Cross multiply
    86,580.42x = 129,883.61 × 30,410.63
  4. Step 4: Simplify right side
    86,580.42x = 3,949,842,076.91
  5. Step 5: Solve for x
    x = 3,949,842,076.91/86,580.42
  6. Step 6: Final answer
    x = 45,620.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.