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Finding the Fourth Proportional to 52,026.57, 71,797 and 30,511.93

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Solution

The fourth proportional to 52,026.57, 71,797 and 30,511.93 is: 42,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,026.57 : 71,797 = 30,511.93 : x
  2. Step 2: Convert to fraction form
    52,026.57/71,797 = 30,511.93/x
  3. Step 3: Cross multiply
    52,026.57x = 71,797 × 30,511.93
  4. Step 4: Simplify right side
    52,026.57x = 2,190,665,038.21
  5. Step 5: Solve for x
    x = 2,190,665,038.21/52,026.57
  6. Step 6: Final answer
    x = 42,106.66

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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.