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Finding the Fourth Proportional to 36,646.56, 54,956.58 and 15,588

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Solution

The fourth proportional to 36,646.56, 54,956.58 and 15,588 is: 23,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,646.56 : 54,956.58 = 15,588 : x
  2. Step 2: Convert to fraction form
    36,646.56/54,956.58 = 15,588/x
  3. Step 3: Cross multiply
    36,646.56x = 54,956.58 × 15,588
  4. Step 4: Simplify right side
    36,646.56x = 856,663,169.04
  5. Step 5: Solve for x
    x = 856,663,169.04/36,646.56
  6. Step 6: Final answer
    x = 23,376.36

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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.