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Finding the Fourth Proportional to 52,142.50, 71,918.44 and 34,230.98

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Solution

The fourth proportional to 52,142.50, 71,918.44 and 34,230.98 is: 47,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.50 : 71,918.44 = 34,230.98 : x
  2. Step 2: Convert to fraction form
    52,142.50/71,918.44 = 34,230.98/x
  3. Step 3: Cross multiply
    52,142.50x = 71,918.44 × 34,230.98
  4. Step 4: Simplify right side
    52,142.50x = 2,461,838,681.27
  5. Step 5: Solve for x
    x = 2,461,838,681.27/52,142.50
  6. Step 6: Final answer
    x = 47,213.67

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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.