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Finding the Fourth Proportional to 38,293.50, 57,443.37 and 10,591.74

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Solution

The fourth proportional to 38,293.50, 57,443.37 and 10,591.74 is: 15,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,293.50 : 57,443.37 = 10,591.74 : x
  2. Step 2: Convert to fraction form
    38,293.50/57,443.37 = 10,591.74/x
  3. Step 3: Cross multiply
    38,293.50x = 57,443.37 × 10,591.74
  4. Step 4: Simplify right side
    38,293.50x = 608,425,239.76
  5. Step 5: Solve for x
    x = 608,425,239.76/38,293.50
  6. Step 6: Final answer
    x = 15,888.47

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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.