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Finding the Fourth Proportional to 53,114.92, 73,298.19 and 29,242

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Solution

The fourth proportional to 53,114.92, 73,298.19 and 29,242 is: 40,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,114.92 : 73,298.19 = 29,242 : x
  2. Step 2: Convert to fraction form
    53,114.92/73,298.19 = 29,242/x
  3. Step 3: Cross multiply
    53,114.92x = 73,298.19 × 29,242
  4. Step 4: Simplify right side
    53,114.92x = 2,143,385,671.98
  5. Step 5: Solve for x
    x = 2,143,385,671.98/53,114.92
  6. Step 6: Final answer
    x = 40,353.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.