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Finding the Fourth Proportional to 86,663.36, 129,999.90 and 24,329

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Solution

The fourth proportional to 86,663.36, 129,999.90 and 24,329 is: 36,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,663.36 : 129,999.90 = 24,329 : x
  2. Step 2: Convert to fraction form
    86,663.36/129,999.90 = 24,329/x
  3. Step 3: Cross multiply
    86,663.36x = 129,999.90 × 24,329
  4. Step 4: Simplify right side
    86,663.36x = 3,162,767,567.10
  5. Step 5: Solve for x
    x = 3,162,767,567.10/86,663.36
  6. Step 6: Final answer
    x = 36,494.86

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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.