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Finding the Fourth Proportional to 53,513.16, 73,850.21 and 29,639.32

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Solution

The fourth proportional to 53,513.16, 73,850.21 and 29,639.32 is: 40,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,513.16 : 73,850.21 = 29,639.32 : x
  2. Step 2: Convert to fraction form
    53,513.16/73,850.21 = 29,639.32/x
  3. Step 3: Cross multiply
    53,513.16x = 73,850.21 × 29,639.32
  4. Step 4: Simplify right side
    53,513.16x = 2,188,869,701.22
  5. Step 5: Solve for x
    x = 2,188,869,701.22/53,513.16
  6. Step 6: Final answer
    x = 40,903.39

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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.