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Finding the Fourth Proportional to 55,613.41, 83,428.47 and 16,165.40

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Solution

The fourth proportional to 55,613.41, 83,428.47 and 16,165.40 is: 24,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,613.41 : 83,428.47 = 16,165.40 : x
  2. Step 2: Convert to fraction form
    55,613.41/83,428.47 = 16,165.40/x
  3. Step 3: Cross multiply
    55,613.41x = 83,428.47 × 16,165.40
  4. Step 4: Simplify right side
    55,613.41x = 1,348,654,171.80
  5. Step 5: Solve for x
    x = 1,348,654,171.80/55,613.41
  6. Step 6: Final answer
    x = 24,250.52

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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.