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Finding the Fourth Proportional to 57,723.84, 79,409.16 and 47,090.16

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Solution

The fourth proportional to 57,723.84, 79,409.16 and 47,090.16 is: 64,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,723.84 : 79,409.16 = 47,090.16 : x
  2. Step 2: Convert to fraction form
    57,723.84/79,409.16 = 47,090.16/x
  3. Step 3: Cross multiply
    57,723.84x = 79,409.16 × 47,090.16
  4. Step 4: Simplify right side
    57,723.84x = 3,739,390,049.87
  5. Step 5: Solve for x
    x = 3,739,390,049.87/57,723.84
  6. Step 6: Final answer
    x = 64,780.69

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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.