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Finding the Fourth Proportional to 55,058.65, 82,588.02 and 13,505.65

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Solution

The fourth proportional to 55,058.65, 82,588.02 and 13,505.65 is: 20,258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,058.65 : 82,588.02 = 13,505.65 : x
  2. Step 2: Convert to fraction form
    55,058.65/82,588.02 = 13,505.65/x
  3. Step 3: Cross multiply
    55,058.65x = 82,588.02 × 13,505.65
  4. Step 4: Simplify right side
    55,058.65x = 1,115,404,479.37
  5. Step 5: Solve for x
    x = 1,115,404,479.37/55,058.65
  6. Step 6: Final answer
    x = 20,258.48

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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.