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Finding the Fourth Proportional to 53,683.38, 74,083.22 and 29,810.12

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Solution

The fourth proportional to 53,683.38, 74,083.22 and 29,810.12 is: 41,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683.38 : 74,083.22 = 29,810.12 : x
  2. Step 2: Convert to fraction form
    53,683.38/74,083.22 = 29,810.12/x
  3. Step 3: Cross multiply
    53,683.38x = 74,083.22 × 29,810.12
  4. Step 4: Simplify right side
    53,683.38x = 2,208,429,158.72
  5. Step 5: Solve for x
    x = 2,208,429,158.72/53,683.38
  6. Step 6: Final answer
    x = 41,138.04

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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.