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Finding the Fourth Proportional to 46,764.56, 64,524.52 and 27,898

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Solution

The fourth proportional to 46,764.56, 64,524.52 and 27,898 is: 38,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764.56 : 64,524.52 = 27,898 : x
  2. Step 2: Convert to fraction form
    46,764.56/64,524.52 = 27,898/x
  3. Step 3: Cross multiply
    46,764.56x = 64,524.52 × 27,898
  4. Step 4: Simplify right side
    46,764.56x = 1,800,105,058.96
  5. Step 5: Solve for x
    x = 1,800,105,058.96/46,764.56
  6. Step 6: Final answer
    x = 38,492.93

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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.