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Finding the Fourth Proportional to 77,194.75, 106,528.76 and 41,866.75

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Solution

The fourth proportional to 77,194.75, 106,528.76 and 41,866.75 is: 57,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,194.75 : 106,528.76 = 41,866.75 : x
  2. Step 2: Convert to fraction form
    77,194.75/106,528.76 = 41,866.75/x
  3. Step 3: Cross multiply
    77,194.75x = 106,528.76 × 41,866.75
  4. Step 4: Simplify right side
    77,194.75x = 4,460,012,962.73
  5. Step 5: Solve for x
    x = 4,460,012,962.73/77,194.75
  6. Step 6: Final answer
    x = 57,776.12

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1.5x scale

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.