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Finding the Fourth Proportional to 76,254.47, 114,272.76 and 33,508.75

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Solution

The fourth proportional to 76,254.47, 114,272.76 and 33,508.75 is: 50,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,254.47 : 114,272.76 = 33,508.75 : x
  2. Step 2: Convert to fraction form
    76,254.47/114,272.76 = 33,508.75/x
  3. Step 3: Cross multiply
    76,254.47x = 114,272.76 × 33,508.75
  4. Step 4: Simplify right side
    76,254.47x = 3,829,136,775.29
  5. Step 5: Solve for x
    x = 3,829,136,775.29/76,254.47
  6. Step 6: Final answer
    x = 50,215.24

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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.