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Finding the Fourth Proportional to 96,012, 132,496.56 and 56,268

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Solution

The fourth proportional to 96,012, 132,496.56 and 56,268 is: 77,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,012 : 132,496.56 = 56,268 : x
  2. Step 2: Convert to fraction form
    96,012/132,496.56 = 56,268/x
  3. Step 3: Cross multiply
    96,012x = 132,496.56 × 56,268
  4. Step 4: Simplify right side
    96,012x = 7,455,316,438.08
  5. Step 5: Solve for x
    x = 7,455,316,438.08/96,012
  6. Step 6: Final answer
    x = 77,649.84

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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.