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Finding the Fourth Proportional to 82,683.50, 114,102.44 and 44,957.76

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Solution

The fourth proportional to 82,683.50, 114,102.44 and 44,957.76 is: 62,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,683.50 : 114,102.44 = 44,957.76 : x
  2. Step 2: Convert to fraction form
    82,683.50/114,102.44 = 44,957.76/x
  3. Step 3: Cross multiply
    82,683.50x = 114,102.44 × 44,957.76
  4. Step 4: Simplify right side
    82,683.50x = 5,129,790,112.93
  5. Step 5: Solve for x
    x = 5,129,790,112.93/82,683.50
  6. Step 6: Final answer
    x = 62,041.28

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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.