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Finding the Fourth Proportional to 86,807.78, 130,216.13 and 24,483.14

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Solution

The fourth proportional to 86,807.78, 130,216.13 and 24,483.14 is: 36,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,807.78 : 130,216.13 = 24,483.14 : x
  2. Step 2: Convert to fraction form
    86,807.78/130,216.13 = 24,483.14/x
  3. Step 3: Cross multiply
    86,807.78x = 130,216.13 × 24,483.14
  4. Step 4: Simplify right side
    86,807.78x = 3,188,099,741.05
  5. Step 5: Solve for x
    x = 3,188,099,741.05/86,807.78
  6. Step 6: Final answer
    x = 36,725.97

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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.