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Finding the Fourth Proportional to 46,678.08, 70,043.76 and 17,092

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Solution

The fourth proportional to 46,678.08, 70,043.76 and 17,092 is: 25,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,678.08 : 70,043.76 = 17,092 : x
  2. Step 2: Convert to fraction form
    46,678.08/70,043.76 = 17,092/x
  3. Step 3: Cross multiply
    46,678.08x = 70,043.76 × 17,092
  4. Step 4: Simplify right side
    46,678.08x = 1,197,187,945.92
  5. Step 5: Solve for x
    x = 1,197,187,945.92/46,678.08
  6. Step 6: Final answer
    x = 25,647.75

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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.