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Finding the Fourth Proportional to 102,693.24, 154,059.30 and 32,592.60

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Solution

The fourth proportional to 102,693.24, 154,059.30 and 32,592.60 is: 48,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,693.24 : 154,059.30 = 32,592.60 : x
  2. Step 2: Convert to fraction form
    102,693.24/154,059.30 = 32,592.60/x
  3. Step 3: Cross multiply
    102,693.24x = 154,059.30 × 32,592.60
  4. Step 4: Simplify right side
    102,693.24x = 5,021,193,141.18
  5. Step 5: Solve for x
    x = 5,021,193,141.18/102,693.24
  6. Step 6: Final answer
    x = 48,895.07

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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.