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Finding the Fourth Proportional to 46,408.08, 64,044.24 and 27,545.28

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Solution

The fourth proportional to 46,408.08, 64,044.24 and 27,545.28 is: 38,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,408.08 : 64,044.24 = 27,545.28 : x
  2. Step 2: Convert to fraction form
    46,408.08/64,044.24 = 27,545.28/x
  3. Step 3: Cross multiply
    46,408.08x = 64,044.24 × 27,545.28
  4. Step 4: Simplify right side
    46,408.08x = 1,764,116,523.19
  5. Step 5: Solve for x
    x = 1,764,116,523.19/46,408.08
  6. Step 6: Final answer
    x = 38,013.13

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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.