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Finding the Fourth Proportional to 74,550.70, 102,836.28 and 47,683.41

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Solution

The fourth proportional to 74,550.70, 102,836.28 and 47,683.41 is: 65,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,550.70 : 102,836.28 = 47,683.41 : x
  2. Step 2: Convert to fraction form
    74,550.70/102,836.28 = 47,683.41/x
  3. Step 3: Cross multiply
    74,550.70x = 102,836.28 × 47,683.41
  4. Step 4: Simplify right side
    74,550.70x = 4,903,584,502.11
  5. Step 5: Solve for x
    x = 4,903,584,502.11/74,550.70
  6. Step 6: Final answer
    x = 65,775.16

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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.