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Finding the Fourth Proportional to 47,398.68, 65,410.56 and 26,178.30

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Solution

The fourth proportional to 47,398.68, 65,410.56 and 26,178.30 is: 36,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,398.68 : 65,410.56 = 26,178.30 : x
  2. Step 2: Convert to fraction form
    47,398.68/65,410.56 = 26,178.30/x
  3. Step 3: Cross multiply
    47,398.68x = 65,410.56 × 26,178.30
  4. Step 4: Simplify right side
    47,398.68x = 1,712,337,262.85
  5. Step 5: Solve for x
    x = 1,712,337,262.85/47,398.68
  6. Step 6: Final answer
    x = 36,126.26

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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.