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Finding the Fourth Proportional to 36,760, 55,140.54 and 9,058

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Solution

The fourth proportional to 36,760, 55,140.54 and 9,058 is: 13,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,760 : 55,140.54 = 9,058 : x
  2. Step 2: Convert to fraction form
    36,760/55,140.54 = 9,058/x
  3. Step 3: Cross multiply
    36,760x = 55,140.54 × 9,058
  4. Step 4: Simplify right side
    36,760x = 499,463,011.32
  5. Step 5: Solve for x
    x = 499,463,011.32/36,760
  6. Step 6: Final answer
    x = 13,587.13

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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.