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Finding the Fourth Proportional to 57,114.90, 85,672.35 and 50,894.10

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Solution

The fourth proportional to 57,114.90, 85,672.35 and 50,894.10 is: 76,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114.90 : 85,672.35 = 50,894.10 : x
  2. Step 2: Convert to fraction form
    57,114.90/85,672.35 = 50,894.10/x
  3. Step 3: Cross multiply
    57,114.90x = 85,672.35 × 50,894.10
  4. Step 4: Simplify right side
    57,114.90x = 4,360,217,148.14
  5. Step 5: Solve for x
    x = 4,360,217,148.14/57,114.90
  6. Step 6: Final answer
    x = 76,341.15

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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.