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Finding the Fourth Proportional to 82,683.84, 114,099.12 and 44,957.76

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Solution

The fourth proportional to 82,683.84, 114,099.12 and 44,957.76 is: 62,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,683.84 : 114,099.12 = 44,957.76 : x
  2. Step 2: Convert to fraction form
    82,683.84/114,099.12 = 44,957.76/x
  3. Step 3: Cross multiply
    82,683.84x = 114,099.12 × 44,957.76
  4. Step 4: Simplify right side
    82,683.84x = 5,129,640,853.17
  5. Step 5: Solve for x
    x = 5,129,640,853.17/82,683.84
  6. Step 6: Final answer
    x = 62,039.22

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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.