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Finding the Fourth Proportional to 67,782.16, 93,518.00 and 39,097.97

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Solution

The fourth proportional to 67,782.16, 93,518.00 and 39,097.97 is: 53,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,782.16 : 93,518.00 = 39,097.97 : x
  2. Step 2: Convert to fraction form
    67,782.16/93,518.00 = 39,097.97/x
  3. Step 3: Cross multiply
    67,782.16x = 93,518.00 × 39,097.97
  4. Step 4: Simplify right side
    67,782.16x = 3,656,363,295.38
  5. Step 5: Solve for x
    x = 3,656,363,295.38/67,782.16
  6. Step 6: Final answer
    x = 53,942.86

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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.