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Finding the Fourth Proportional to 86,694.34, 130,046 and 27,534.64

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Solution

The fourth proportional to 86,694.34, 130,046 and 27,534.64 is: 41,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,694.34 : 130,046 = 27,534.64 : x
  2. Step 2: Convert to fraction form
    86,694.34/130,046 = 27,534.64/x
  3. Step 3: Cross multiply
    86,694.34x = 130,046 × 27,534.64
  4. Step 4: Simplify right side
    86,694.34x = 3,580,769,143.21
  5. Step 5: Solve for x
    x = 3,580,769,143.21/86,694.34
  6. Step 6: Final answer
    x = 41,303.38

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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.