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Finding the Fourth Proportional to 55,157.76, 82,741.50 and 15,714

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Solution

The fourth proportional to 55,157.76, 82,741.50 and 15,714 is: 23,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,157.76 : 82,741.50 = 15,714 : x
  2. Step 2: Convert to fraction form
    55,157.76/82,741.50 = 15,714/x
  3. Step 3: Cross multiply
    55,157.76x = 82,741.50 × 15,714
  4. Step 4: Simplify right side
    55,157.76x = 1,300,199,931
  5. Step 5: Solve for x
    x = 1,300,199,931/55,157.76
  6. Step 6: Final answer
    x = 23,572.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.