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Finding the Fourth Proportional to 77,407.75, 116,131.14 and 22,003.75

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Solution

The fourth proportional to 77,407.75, 116,131.14 and 22,003.75 is: 33,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,407.75 : 116,131.14 = 22,003.75 : x
  2. Step 2: Convert to fraction form
    77,407.75/116,131.14 = 22,003.75/x
  3. Step 3: Cross multiply
    77,407.75x = 116,131.14 × 22,003.75
  4. Step 4: Simplify right side
    77,407.75x = 2,555,320,461.76
  5. Step 5: Solve for x
    x = 2,555,320,461.76/77,407.75
  6. Step 6: Final answer
    x = 33,011.17

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1.5x scale

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.