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Finding the Fourth Proportional to 102,932.30, 154,405.65 and 40,594.70

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Solution

The fourth proportional to 102,932.30, 154,405.65 and 40,594.70 is: 60,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,932.30 : 154,405.65 = 40,594.70 : x
  2. Step 2: Convert to fraction form
    102,932.30/154,405.65 = 40,594.70/x
  3. Step 3: Cross multiply
    102,932.30x = 154,405.65 × 40,594.70
  4. Step 4: Simplify right side
    102,932.30x = 6,268,051,040.06
  5. Step 5: Solve for x
    x = 6,268,051,040.06/102,932.30
  6. Step 6: Final answer
    x = 60,894.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.