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Finding the Fourth Proportional to 52,111.90, 71,911.02 and 33,247

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Solution

The fourth proportional to 52,111.90, 71,911.02 and 33,247 is: 45,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.90 : 71,911.02 = 33,247 : x
  2. Step 2: Convert to fraction form
    52,111.90/71,911.02 = 33,247/x
  3. Step 3: Cross multiply
    52,111.90x = 71,911.02 × 33,247
  4. Step 4: Simplify right side
    52,111.90x = 2,390,825,681.94
  5. Step 5: Solve for x
    x = 2,390,825,681.94/52,111.90
  6. Step 6: Final answer
    x = 45,878.69

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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.