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Finding the Fourth Proportional to 46,616.31, 69,934.77 and 17,034.12

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Solution

The fourth proportional to 46,616.31, 69,934.77 and 17,034.12 is: 25,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,616.31 : 69,934.77 = 17,034.12 : x
  2. Step 2: Convert to fraction form
    46,616.31/69,934.77 = 17,034.12/x
  3. Step 3: Cross multiply
    46,616.31x = 69,934.77 × 17,034.12
  4. Step 4: Simplify right side
    46,616.31x = 1,191,277,264.35
  5. Step 5: Solve for x
    x = 1,191,277,264.35/46,616.31
  6. Step 6: Final answer
    x = 25,554.95

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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.