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Finding the Fourth Proportional to 37,094.58, 51,171.86 and 24,346

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Solution

The fourth proportional to 37,094.58, 51,171.86 and 24,346 is: 33,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,094.58 : 51,171.86 = 24,346 : x
  2. Step 2: Convert to fraction form
    37,094.58/51,171.86 = 24,346/x
  3. Step 3: Cross multiply
    37,094.58x = 51,171.86 × 24,346
  4. Step 4: Simplify right side
    37,094.58x = 1,245,830,103.56
  5. Step 5: Solve for x
    x = 1,245,830,103.56/37,094.58
  6. Step 6: Final answer
    x = 33,585.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.