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Finding the Fourth Proportional to 105,594.30, 145,722.24 and 57,847.70

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Solution

The fourth proportional to 105,594.30, 145,722.24 and 57,847.70 is: 79,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,594.30 : 145,722.24 = 57,847.70 : x
  2. Step 2: Convert to fraction form
    105,594.30/145,722.24 = 57,847.70/x
  3. Step 3: Cross multiply
    105,594.30x = 145,722.24 × 57,847.70
  4. Step 4: Simplify right side
    105,594.30x = 8,429,696,787.15
  5. Step 5: Solve for x
    x = 8,429,696,787.15/105,594.30
  6. Step 6: Final answer
    x = 79,830.98

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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.