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Finding the Fourth Proportional to 37,443.14, 56,164.68 and 9,741.14

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Solution

The fourth proportional to 37,443.14, 56,164.68 and 9,741.14 is: 14,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,443.14 : 56,164.68 = 9,741.14 : x
  2. Step 2: Convert to fraction form
    37,443.14/56,164.68 = 9,741.14/x
  3. Step 3: Cross multiply
    37,443.14x = 56,164.68 × 9,741.14
  4. Step 4: Simplify right side
    37,443.14x = 547,108,010.94
  5. Step 5: Solve for x
    x = 547,108,010.94/37,443.14
  6. Step 6: Final answer
    x = 14,611.70

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Similar ratio
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1.5x scale

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.