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Finding the Fourth Proportional to 36,457.59, 54,691.86 and 13,089.50

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Solution

The fourth proportional to 36,457.59, 54,691.86 and 13,089.50 is: 19,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,457.59 : 54,691.86 = 13,089.50 : x
  2. Step 2: Convert to fraction form
    36,457.59/54,691.86 = 13,089.50/x
  3. Step 3: Cross multiply
    36,457.59x = 54,691.86 × 13,089.50
  4. Step 4: Simplify right side
    36,457.59x = 715,889,008.56
  5. Step 5: Solve for x
    x = 715,889,008.56/36,457.59
  6. Step 6: Final answer
    x = 19,636.21

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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.