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Finding the Fourth Proportional to 52,090.16, 71,885.76 and 30,866

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Solution

The fourth proportional to 52,090.16, 71,885.76 and 30,866 is: 42,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.16 : 71,885.76 = 30,866 : x
  2. Step 2: Convert to fraction form
    52,090.16/71,885.76 = 30,866/x
  3. Step 3: Cross multiply
    52,090.16x = 71,885.76 × 30,866
  4. Step 4: Simplify right side
    52,090.16x = 2,218,825,868.16
  5. Step 5: Solve for x
    x = 2,218,825,868.16/52,090.16
  6. Step 6: Final answer
    x = 42,595.87

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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.