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Finding the Fourth Proportional to 69,634, 96,095.04 and 39,826

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Solution

The fourth proportional to 69,634, 96,095.04 and 39,826 is: 54,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,634 : 96,095.04 = 39,826 : x
  2. Step 2: Convert to fraction form
    69,634/96,095.04 = 39,826/x
  3. Step 3: Cross multiply
    69,634x = 96,095.04 × 39,826
  4. Step 4: Simplify right side
    69,634x = 3,827,081,063.04
  5. Step 5: Solve for x
    x = 3,827,081,063.04/69,634
  6. Step 6: Final answer
    x = 54,959.95

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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.