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Finding the Fourth Proportional to 51,158.10, 70,609.07 and 34,381.38

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Solution

The fourth proportional to 51,158.10, 70,609.07 and 34,381.38 is: 47,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,158.10 : 70,609.07 = 34,381.38 : x
  2. Step 2: Convert to fraction form
    51,158.10/70,609.07 = 34,381.38/x
  3. Step 3: Cross multiply
    51,158.10x = 70,609.07 × 34,381.38
  4. Step 4: Simplify right side
    51,158.10x = 2,427,637,267.12
  5. Step 5: Solve for x
    x = 2,427,637,267.12/51,158.10
  6. Step 6: Final answer
    x = 47,453.62

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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.