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Finding the Fourth Proportional to 61,513.49, 92,237.43 and 31,857.77

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Solution

The fourth proportional to 61,513.49, 92,237.43 and 31,857.77 is: 47,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,513.49 : 92,237.43 = 31,857.77 : x
  2. Step 2: Convert to fraction form
    61,513.49/92,237.43 = 31,857.77/x
  3. Step 3: Cross multiply
    61,513.49x = 92,237.43 × 31,857.77
  4. Step 4: Simplify right side
    61,513.49x = 2,938,479,180.39
  5. Step 5: Solve for x
    x = 2,938,479,180.39/61,513.49
  6. Step 6: Final answer
    x = 47,769.67

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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.