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Finding the Fourth Proportional to 55,136.16, 82,702.08 and 13,582.08

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Solution

The fourth proportional to 55,136.16, 82,702.08 and 13,582.08 is: 20,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,136.16 : 82,702.08 = 13,582.08 : x
  2. Step 2: Convert to fraction form
    55,136.16/82,702.08 = 13,582.08/x
  3. Step 3: Cross multiply
    55,136.16x = 82,702.08 × 13,582.08
  4. Step 4: Simplify right side
    55,136.16x = 1,123,266,266.73
  5. Step 5: Solve for x
    x = 1,123,266,266.73/55,136.16
  6. Step 6: Final answer
    x = 20,372.59

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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.