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Finding the Fourth Proportional to 116,448, 174,672 and 28,896

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Solution

The fourth proportional to 116,448, 174,672 and 28,896 is: 43,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,448 : 174,672 = 28,896 : x
  2. Step 2: Convert to fraction form
    116,448/174,672 = 28,896/x
  3. Step 3: Cross multiply
    116,448x = 174,672 × 28,896
  4. Step 4: Simplify right side
    116,448x = 5,047,322,112
  5. Step 5: Solve for x
    x = 5,047,322,112/116,448
  6. Step 6: Final answer
    x = 43,344

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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.