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Finding the Fourth Proportional to 71,376.60, 98,500.50 and 39,546

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Solution

The fourth proportional to 71,376.60, 98,500.50 and 39,546 is: 54,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376.60 : 98,500.50 = 39,546 : x
  2. Step 2: Convert to fraction form
    71,376.60/98,500.50 = 39,546/x
  3. Step 3: Cross multiply
    71,376.60x = 98,500.50 × 39,546
  4. Step 4: Simplify right side
    71,376.60x = 3,895,300,773
  5. Step 5: Solve for x
    x = 3,895,300,773/71,376.60
  6. Step 6: Final answer
    x = 54,573.92

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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.