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Finding the Fourth Proportional to 48,703.86, 73,058.22 and 13,647.06

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Solution

The fourth proportional to 48,703.86, 73,058.22 and 13,647.06 is: 20,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,703.86 : 73,058.22 = 13,647.06 : x
  2. Step 2: Convert to fraction form
    48,703.86/73,058.22 = 13,647.06/x
  3. Step 3: Cross multiply
    48,703.86x = 73,058.22 × 13,647.06
  4. Step 4: Simplify right side
    48,703.86x = 997,029,911.83
  5. Step 5: Solve for x
    x = 997,029,911.83/48,703.86
  6. Step 6: Final answer
    x = 20,471.27

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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.