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Finding the Fourth Proportional to 46,872.45, 64,674 and 27,758.25

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Solution

The fourth proportional to 46,872.45, 64,674 and 27,758.25 is: 38,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,872.45 : 64,674 = 27,758.25 : x
  2. Step 2: Convert to fraction form
    46,872.45/64,674 = 27,758.25/x
  3. Step 3: Cross multiply
    46,872.45x = 64,674 × 27,758.25
  4. Step 4: Simplify right side
    46,872.45x = 1,795,237,060.50
  5. Step 5: Solve for x
    x = 1,795,237,060.50/46,872.45
  6. Step 6: Final answer
    x = 38,300.47

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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.