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Finding the Fourth Proportional to 46,408.38, 64,060.19 and 27,545.50

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Solution

The fourth proportional to 46,408.38, 64,060.19 and 27,545.50 is: 38,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,408.38 : 64,060.19 = 27,545.50 : x
  2. Step 2: Convert to fraction form
    46,408.38/64,060.19 = 27,545.50/x
  3. Step 3: Cross multiply
    46,408.38x = 64,060.19 × 27,545.50
  4. Step 4: Simplify right side
    46,408.38x = 1,764,569,963.65
  5. Step 5: Solve for x
    x = 1,764,569,963.65/46,408.38
  6. Step 6: Final answer
    x = 38,022.66

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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.