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Finding the Fourth Proportional to 77,476.98, 116,215.13 and 27,558.93

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Solution

The fourth proportional to 77,476.98, 116,215.13 and 27,558.93 is: 41,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,476.98 : 116,215.13 = 27,558.93 : x
  2. Step 2: Convert to fraction form
    77,476.98/116,215.13 = 27,558.93/x
  3. Step 3: Cross multiply
    77,476.98x = 116,215.13 × 27,558.93
  4. Step 4: Simplify right side
    77,476.98x = 3,202,765,059.81
  5. Step 5: Solve for x
    x = 3,202,765,059.81/77,476.98
  6. Step 6: Final answer
    x = 41,338.28

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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.