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Finding the Fourth Proportional to 74,289.42, 102,519 and 40,298.58

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Solution

The fourth proportional to 74,289.42, 102,519 and 40,298.58 is: 55,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,289.42 : 102,519 = 40,298.58 : x
  2. Step 2: Convert to fraction form
    74,289.42/102,519 = 40,298.58/x
  3. Step 3: Cross multiply
    74,289.42x = 102,519 × 40,298.58
  4. Step 4: Simplify right side
    74,289.42x = 4,131,370,123.02
  5. Step 5: Solve for x
    x = 4,131,370,123.02/74,289.42
  6. Step 6: Final answer
    x = 55,611.82

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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.