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Finding the Fourth Proportional to 106,315.12, 159,571.50 and 53,762.32

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Solution

The fourth proportional to 106,315.12, 159,571.50 and 53,762.32 is: 80,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315.12 : 159,571.50 = 53,762.32 : x
  2. Step 2: Convert to fraction form
    106,315.12/159,571.50 = 53,762.32/x
  3. Step 3: Cross multiply
    106,315.12x = 159,571.50 × 53,762.32
  4. Step 4: Simplify right side
    106,315.12x = 8,578,934,045.88
  5. Step 5: Solve for x
    x = 8,578,934,045.88/106,315.12
  6. Step 6: Final answer
    x = 80,693.45

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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.