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Finding the Fourth Proportional to 61,513.81, 92,237.90 and 31,858.09

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Solution

The fourth proportional to 61,513.81, 92,237.90 and 31,858.09 is: 47,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,513.81 : 92,237.90 = 31,858.09 : x
  2. Step 2: Convert to fraction form
    61,513.81/92,237.90 = 31,858.09/x
  3. Step 3: Cross multiply
    61,513.81x = 92,237.90 × 31,858.09
  4. Step 4: Simplify right side
    61,513.81x = 2,938,523,319.61
  5. Step 5: Solve for x
    x = 2,938,523,319.61/61,513.81
  6. Step 6: Final answer
    x = 47,770.14

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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.