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Finding the Fourth Proportional to 96,043.72, 144,171.66 and 56,629.32

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Solution

The fourth proportional to 96,043.72, 144,171.66 and 56,629.32 is: 85,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,043.72 : 144,171.66 = 56,629.32 : x
  2. Step 2: Convert to fraction form
    96,043.72/144,171.66 = 56,629.32/x
  3. Step 3: Cross multiply
    96,043.72x = 144,171.66 × 56,629.32
  4. Step 4: Simplify right side
    96,043.72x = 8,164,343,069.07
  5. Step 5: Solve for x
    x = 8,164,343,069.07/96,043.72
  6. Step 6: Final answer
    x = 85,006.53

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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.