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Finding the Fourth Proportional to 86,365.80, 129,586.32 and 30,246.21

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Solution

The fourth proportional to 86,365.80, 129,586.32 and 30,246.21 is: 45,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,365.80 : 129,586.32 = 30,246.21 : x
  2. Step 2: Convert to fraction form
    86,365.80/129,586.32 = 30,246.21/x
  3. Step 3: Cross multiply
    86,365.80x = 129,586.32 × 30,246.21
  4. Step 4: Simplify right side
    86,365.80x = 3,919,495,047.85
  5. Step 5: Solve for x
    x = 3,919,495,047.85/86,365.80
  6. Step 6: Final answer
    x = 45,382.49

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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.