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Finding the Fourth Proportional to 28,754.53, 43,119.47 and 10,029

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Solution

The fourth proportional to 28,754.53, 43,119.47 and 10,029 is: 15,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,754.53 : 43,119.47 = 10,029 : x
  2. Step 2: Convert to fraction form
    28,754.53/43,119.47 = 10,029/x
  3. Step 3: Cross multiply
    28,754.53x = 43,119.47 × 10,029
  4. Step 4: Simplify right side
    28,754.53x = 432,445,164.63
  5. Step 5: Solve for x
    x = 432,445,164.63/28,754.53
  6. Step 6: Final answer
    x = 15,039.20

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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.