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Finding the Fourth Proportional to 105,478.74, 145,555.05 and 57,722.85

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Solution

The fourth proportional to 105,478.74, 145,555.05 and 57,722.85 is: 79,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,478.74 : 145,555.05 = 57,722.85 : x
  2. Step 2: Convert to fraction form
    105,478.74/145,555.05 = 57,722.85/x
  3. Step 3: Cross multiply
    105,478.74x = 145,555.05 × 57,722.85
  4. Step 4: Simplify right side
    105,478.74x = 8,401,852,317.89
  5. Step 5: Solve for x
    x = 8,401,852,317.89/105,478.74
  6. Step 6: Final answer
    x = 79,654.46

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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.