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Finding the Fourth Proportional to 50,971.67, 70,312.57 and 47,363.42

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Solution

The fourth proportional to 50,971.67, 70,312.57 and 47,363.42 is: 65,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,971.67 : 70,312.57 = 47,363.42 : x
  2. Step 2: Convert to fraction form
    50,971.67/70,312.57 = 47,363.42/x
  3. Step 3: Cross multiply
    50,971.67x = 70,312.57 × 47,363.42
  4. Step 4: Simplify right side
    50,971.67x = 3,330,243,841.56
  5. Step 5: Solve for x
    x = 3,330,243,841.56/50,971.67
  6. Step 6: Final answer
    x = 65,335.19

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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.