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Finding the Fourth Proportional to 52,001.70, 71,748.09 and 33,123.30

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Solution

The fourth proportional to 52,001.70, 71,748.09 and 33,123.30 is: 45,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001.70 : 71,748.09 = 33,123.30 : x
  2. Step 2: Convert to fraction form
    52,001.70/71,748.09 = 33,123.30/x
  3. Step 3: Cross multiply
    52,001.70x = 71,748.09 × 33,123.30
  4. Step 4: Simplify right side
    52,001.70x = 2,376,533,509.50
  5. Step 5: Solve for x
    x = 2,376,533,509.50/52,001.70
  6. Step 6: Final answer
    x = 45,701.07

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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.