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Finding the Fourth Proportional to 46,658.50, 69,994.80 and 15,058

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Solution

The fourth proportional to 46,658.50, 69,994.80 and 15,058 is: 22,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,658.50 : 69,994.80 = 15,058 : x
  2. Step 2: Convert to fraction form
    46,658.50/69,994.80 = 15,058/x
  3. Step 3: Cross multiply
    46,658.50x = 69,994.80 × 15,058
  4. Step 4: Simplify right side
    46,658.50x = 1,053,981,698.40
  5. Step 5: Solve for x
    x = 1,053,981,698.40/46,658.50
  6. Step 6: Final answer
    x = 22,589.28

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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.