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Finding the Fourth Proportional to 36,038.92, 54,058.38 and 11,413

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Solution

The fourth proportional to 36,038.92, 54,058.38 and 11,413 is: 17,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038.92 : 54,058.38 = 11,413 : x
  2. Step 2: Convert to fraction form
    36,038.92/54,058.38 = 11,413/x
  3. Step 3: Cross multiply
    36,038.92x = 54,058.38 × 11,413
  4. Step 4: Simplify right side
    36,038.92x = 616,968,290.94
  5. Step 5: Solve for x
    x = 616,968,290.94/36,038.92
  6. Step 6: Final answer
    x = 17,119.50

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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.