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Finding the Fourth Proportional to 83,477.34, 125,230.59 and 36,729

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Solution

The fourth proportional to 83,477.34, 125,230.59 and 36,729 is: 55,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,477.34 : 125,230.59 = 36,729 : x
  2. Step 2: Convert to fraction form
    83,477.34/125,230.59 = 36,729/x
  3. Step 3: Cross multiply
    83,477.34x = 125,230.59 × 36,729
  4. Step 4: Simplify right side
    83,477.34x = 4,599,594,340.11
  5. Step 5: Solve for x
    x = 4,599,594,340.11/83,477.34
  6. Step 6: Final answer
    x = 55,099.92

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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.