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Finding the Fourth Proportional to 105,577.80, 145,697.88 and 57,831

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Solution

The fourth proportional to 105,577.80, 145,697.88 and 57,831 is: 79,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,577.80 : 145,697.88 = 57,831 : x
  2. Step 2: Convert to fraction form
    105,577.80/145,697.88 = 57,831/x
  3. Step 3: Cross multiply
    105,577.80x = 145,697.88 × 57,831
  4. Step 4: Simplify right side
    105,577.80x = 8,425,854,098.28
  5. Step 5: Solve for x
    x = 8,425,854,098.28/105,577.80
  6. Step 6: Final answer
    x = 79,807.06

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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.