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Finding the Fourth Proportional to 86,395.52, 129,596.32 and 30,224.32

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Solution

The fourth proportional to 86,395.52, 129,596.32 and 30,224.32 is: 45,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,395.52 : 129,596.32 = 30,224.32 : x
  2. Step 2: Convert to fraction form
    86,395.52/129,596.32 = 30,224.32/x
  3. Step 3: Cross multiply
    86,395.52x = 129,596.32 × 30,224.32
  4. Step 4: Simplify right side
    86,395.52x = 3,916,960,646.50
  5. Step 5: Solve for x
    x = 3,916,960,646.50/86,395.52
  6. Step 6: Final answer
    x = 45,337.54

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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.