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Finding the Fourth Proportional to 55,676.40, 83,514.06 and 14,123.40

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Solution

The fourth proportional to 55,676.40, 83,514.06 and 14,123.40 is: 21,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,676.40 : 83,514.06 = 14,123.40 : x
  2. Step 2: Convert to fraction form
    55,676.40/83,514.06 = 14,123.40/x
  3. Step 3: Cross multiply
    55,676.40x = 83,514.06 × 14,123.40
  4. Step 4: Simplify right side
    55,676.40x = 1,179,502,475.00
  5. Step 5: Solve for x
    x = 1,179,502,475.00/55,676.40
  6. Step 6: Final answer
    x = 21,184.96

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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.