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Finding the Fourth Proportional to 96,953.36, 133,751.90 and 56,649

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Solution

The fourth proportional to 96,953.36, 133,751.90 and 56,649 is: 78,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,953.36 : 133,751.90 = 56,649 : x
  2. Step 2: Convert to fraction form
    96,953.36/133,751.90 = 56,649/x
  3. Step 3: Cross multiply
    96,953.36x = 133,751.90 × 56,649
  4. Step 4: Simplify right side
    96,953.36x = 7,576,911,383.10
  5. Step 5: Solve for x
    x = 7,576,911,383.10/96,953.36
  6. Step 6: Final answer
    x = 78,150.06

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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.