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Finding the Fourth Proportional to 51,036.48, 76,521.48 and 17,754

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Solution

The fourth proportional to 51,036.48, 76,521.48 and 17,754 is: 26,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,036.48 : 76,521.48 = 17,754 : x
  2. Step 2: Convert to fraction form
    51,036.48/76,521.48 = 17,754/x
  3. Step 3: Cross multiply
    51,036.48x = 76,521.48 × 17,754
  4. Step 4: Simplify right side
    51,036.48x = 1,358,562,355.92
  5. Step 5: Solve for x
    x = 1,358,562,355.92/51,036.48
  6. Step 6: Final answer
    x = 26,619.44

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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.