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Finding the Fourth Proportional to 83,723.84, 125,483.60 and 46,282.40

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Solution

The fourth proportional to 83,723.84, 125,483.60 and 46,282.40 is: 69,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,723.84 : 125,483.60 = 46,282.40 : x
  2. Step 2: Convert to fraction form
    83,723.84/125,483.60 = 46,282.40/x
  3. Step 3: Cross multiply
    83,723.84x = 125,483.60 × 46,282.40
  4. Step 4: Simplify right side
    83,723.84x = 5,807,682,168.64
  5. Step 5: Solve for x
    x = 5,807,682,168.64/83,723.84
  6. Step 6: Final answer
    x = 69,367.13

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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.