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Finding the Fourth Proportional to 86,683.80, 129,953.70 and 36,802.20

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Solution

The fourth proportional to 86,683.80, 129,953.70 and 36,802.20 is: 55,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,683.80 : 129,953.70 = 36,802.20 : x
  2. Step 2: Convert to fraction form
    86,683.80/129,953.70 = 36,802.20/x
  3. Step 3: Cross multiply
    86,683.80x = 129,953.70 × 36,802.20
  4. Step 4: Simplify right side
    86,683.80x = 4,782,582,058.14
  5. Step 5: Solve for x
    x = 4,782,582,058.14/86,683.80
  6. Step 6: Final answer
    x = 55,172.73

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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.