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Finding the Fourth Proportional to 57,124.98, 78,808.04 and 34,451.08

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Solution

The fourth proportional to 57,124.98, 78,808.04 and 34,451.08 is: 47,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,124.98 : 78,808.04 = 34,451.08 : x
  2. Step 2: Convert to fraction form
    57,124.98/78,808.04 = 34,451.08/x
  3. Step 3: Cross multiply
    57,124.98x = 78,808.04 × 34,451.08
  4. Step 4: Simplify right side
    57,124.98x = 2,715,021,979.79
  5. Step 5: Solve for x
    x = 2,715,021,979.79/57,124.98
  6. Step 6: Final answer
    x = 47,527.75

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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.