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Finding the Fourth Proportional to 86,594.90, 129,896.40 and 27,435.20

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Solution

The fourth proportional to 86,594.90, 129,896.40 and 27,435.20 is: 41,154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,594.90 : 129,896.40 = 27,435.20 : x
  2. Step 2: Convert to fraction form
    86,594.90/129,896.40 = 27,435.20/x
  3. Step 3: Cross multiply
    86,594.90x = 129,896.40 × 27,435.20
  4. Step 4: Simplify right side
    86,594.90x = 3,563,733,713.28
  5. Step 5: Solve for x
    x = 3,563,733,713.28/86,594.90
  6. Step 6: Final answer
    x = 41,154.08

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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.