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Finding the Fourth Proportional to 83,989.86, 115,886.12 and 47,683.43

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Solution

The fourth proportional to 83,989.86, 115,886.12 and 47,683.43 is: 65,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989.86 : 115,886.12 = 47,683.43 : x
  2. Step 2: Convert to fraction form
    83,989.86/115,886.12 = 47,683.43/x
  3. Step 3: Cross multiply
    83,989.86x = 115,886.12 × 47,683.43
  4. Step 4: Simplify right side
    83,989.86x = 5,525,847,690.99
  5. Step 5: Solve for x
    x = 5,525,847,690.99/83,989.86
  6. Step 6: Final answer
    x = 65,791.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.