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Finding the Fourth Proportional to 52,026, 71,773 and 30,504.76

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Solution

The fourth proportional to 52,026, 71,773 and 30,504.76 is: 42,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,026 : 71,773 = 30,504.76 : x
  2. Step 2: Convert to fraction form
    52,026/71,773 = 30,504.76/x
  3. Step 3: Cross multiply
    52,026x = 71,773 × 30,504.76
  4. Step 4: Simplify right side
    52,026x = 2,189,418,139.48
  5. Step 5: Solve for x
    x = 2,189,418,139.48/52,026
  6. Step 6: Final answer
    x = 42,083.15

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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.