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Finding the Fourth Proportional to 56,105.50, 77,420.05 and 39,146.20

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Solution

The fourth proportional to 56,105.50, 77,420.05 and 39,146.20 is: 54,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,105.50 : 77,420.05 = 39,146.20 : x
  2. Step 2: Convert to fraction form
    56,105.50/77,420.05 = 39,146.20/x
  3. Step 3: Cross multiply
    56,105.50x = 77,420.05 × 39,146.20
  4. Step 4: Simplify right side
    56,105.50x = 3,030,700,761.31
  5. Step 5: Solve for x
    x = 3,030,700,761.31/56,105.50
  6. Step 6: Final answer
    x = 54,017.89

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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.