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Finding the Fourth Proportional to 96,045.84, 132,545.38 and 53,025.20

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Solution

The fourth proportional to 96,045.84, 132,545.38 and 53,025.20 is: 73,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,045.84 : 132,545.38 = 53,025.20 : x
  2. Step 2: Convert to fraction form
    96,045.84/132,545.38 = 53,025.20/x
  3. Step 3: Cross multiply
    96,045.84x = 132,545.38 × 53,025.20
  4. Step 4: Simplify right side
    96,045.84x = 7,028,245,283.58
  5. Step 5: Solve for x
    x = 7,028,245,283.58/96,045.84
  6. Step 6: Final answer
    x = 73,175.95

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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.