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Finding the Fourth Proportional to 52,130.34, 71,843.40 and 37,023.66

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Solution

The fourth proportional to 52,130.34, 71,843.40 and 37,023.66 is: 51,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,130.34 : 71,843.40 = 37,023.66 : x
  2. Step 2: Convert to fraction form
    52,130.34/71,843.40 = 37,023.66/x
  3. Step 3: Cross multiply
    52,130.34x = 71,843.40 × 37,023.66
  4. Step 4: Simplify right side
    52,130.34x = 2,659,905,614.84
  5. Step 5: Solve for x
    x = 2,659,905,614.84/52,130.34
  6. Step 6: Final answer
    x = 51,024.14

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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.