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Finding the Fourth Proportional to 86,998.35, 130,492.64 and 23,813.84

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Solution

The fourth proportional to 86,998.35, 130,492.64 and 23,813.84 is: 35,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,998.35 : 130,492.64 = 23,813.84 : x
  2. Step 2: Convert to fraction form
    86,998.35/130,492.64 = 23,813.84/x
  3. Step 3: Cross multiply
    86,998.35x = 130,492.64 × 23,813.84
  4. Step 4: Simplify right side
    86,998.35x = 3,107,530,078.61
  5. Step 5: Solve for x
    x = 3,107,530,078.61/86,998.35
  6. Step 6: Final answer
    x = 35,719.41

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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.