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Finding the Fourth Proportional to 53,174.81, 79,686.96 and 29,492.78

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Solution

The fourth proportional to 53,174.81, 79,686.96 and 29,492.78 is: 44,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,174.81 : 79,686.96 = 29,492.78 : x
  2. Step 2: Convert to fraction form
    53,174.81/79,686.96 = 29,492.78/x
  3. Step 3: Cross multiply
    53,174.81x = 79,686.96 × 29,492.78
  4. Step 4: Simplify right side
    53,174.81x = 2,350,189,980.15
  5. Step 5: Solve for x
    x = 2,350,189,980.15/53,174.81
  6. Step 6: Final answer
    x = 44,197.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.