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Finding the Fourth Proportional to 53,652.38, 74,038.88 and 29,778.44

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Solution

The fourth proportional to 53,652.38, 74,038.88 and 29,778.44 is: 41,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,652.38 : 74,038.88 = 29,778.44 : x
  2. Step 2: Convert to fraction form
    53,652.38/74,038.88 = 29,778.44/x
  3. Step 3: Cross multiply
    53,652.38x = 74,038.88 × 29,778.44
  4. Step 4: Simplify right side
    53,652.38x = 2,204,762,345.75
  5. Step 5: Solve for x
    x = 2,204,762,345.75/53,652.38
  6. Step 6: Final answer
    x = 41,093.47

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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.