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Finding the Fourth Proportional to 105,509.30, 158,289.12 and 34,432.07

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Solution

The fourth proportional to 105,509.30, 158,289.12 and 34,432.07 is: 51,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,509.30 : 158,289.12 = 34,432.07 : x
  2. Step 2: Convert to fraction form
    105,509.30/158,289.12 = 34,432.07/x
  3. Step 3: Cross multiply
    105,509.30x = 158,289.12 × 34,432.07
  4. Step 4: Simplify right side
    105,509.30x = 5,450,222,060.08
  5. Step 5: Solve for x
    x = 5,450,222,060.08/105,509.30
  6. Step 6: Final answer
    x = 51,656.32

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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.