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Finding the Fourth Proportional to 96,210, 144,317.16 and 33,030

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Solution

The fourth proportional to 96,210, 144,317.16 and 33,030 is: 49,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,210 : 144,317.16 = 33,030 : x
  2. Step 2: Convert to fraction form
    96,210/144,317.16 = 33,030/x
  3. Step 3: Cross multiply
    96,210x = 144,317.16 × 33,030
  4. Step 4: Simplify right side
    96,210x = 4,766,795,794.80
  5. Step 5: Solve for x
    x = 4,766,795,794.80/96,210
  6. Step 6: Final answer
    x = 49,545.74

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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.