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Finding the Fourth Proportional to 42,838.47, 64,250.69 and 11,676.15

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Solution

The fourth proportional to 42,838.47, 64,250.69 and 11,676.15 is: 17,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,838.47 : 64,250.69 = 11,676.15 : x
  2. Step 2: Convert to fraction form
    42,838.47/64,250.69 = 11,676.15/x
  3. Step 3: Cross multiply
    42,838.47x = 64,250.69 × 11,676.15
  4. Step 4: Simplify right side
    42,838.47x = 750,200,635.66
  5. Step 5: Solve for x
    x = 750,200,635.66/42,838.47
  6. Step 6: Final answer
    x = 17,512.31

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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.