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Finding the Fourth Proportional to 53,090.96, 79,647.96 and 16,154

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Solution

The fourth proportional to 53,090.96, 79,647.96 and 16,154 is: 24,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,090.96 : 79,647.96 = 16,154 : x
  2. Step 2: Convert to fraction form
    53,090.96/79,647.96 = 16,154/x
  3. Step 3: Cross multiply
    53,090.96x = 79,647.96 × 16,154
  4. Step 4: Simplify right side
    53,090.96x = 1,286,633,145.84
  5. Step 5: Solve for x
    x = 1,286,633,145.84/53,090.96
  6. Step 6: Final answer
    x = 24,234.51

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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.