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Finding the Fourth Proportional to 86,646.24, 129,968.33 and 27,482.42

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Solution

The fourth proportional to 86,646.24, 129,968.33 and 27,482.42 is: 41,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,646.24 : 129,968.33 = 27,482.42 : x
  2. Step 2: Convert to fraction form
    86,646.24/129,968.33 = 27,482.42/x
  3. Step 3: Cross multiply
    86,646.24x = 129,968.33 × 27,482.42
  4. Step 4: Simplify right side
    86,646.24x = 3,571,843,444.50
  5. Step 5: Solve for x
    x = 3,571,843,444.50/86,646.24
  6. Step 6: Final answer
    x = 41,223.29

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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.