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Finding the Fourth Proportional to 83,683.67, 115,455.20 and 47,848.19

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Solution

The fourth proportional to 83,683.67, 115,455.20 and 47,848.19 is: 66,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,683.67 : 115,455.20 = 47,848.19 : x
  2. Step 2: Convert to fraction form
    83,683.67/115,455.20 = 47,848.19/x
  3. Step 3: Cross multiply
    83,683.67x = 115,455.20 × 47,848.19
  4. Step 4: Simplify right side
    83,683.67x = 5,524,321,529.57
  5. Step 5: Solve for x
    x = 5,524,321,529.57/83,683.67
  6. Step 6: Final answer
    x = 66,014.34

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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.