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Finding the Fourth Proportional to 106,482.54, 159,723.88 and 59,768.22

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Solution

The fourth proportional to 106,482.54, 159,723.88 and 59,768.22 is: 89,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,482.54 : 159,723.88 = 59,768.22 : x
  2. Step 2: Convert to fraction form
    106,482.54/159,723.88 = 59,768.22/x
  3. Step 3: Cross multiply
    106,482.54x = 159,723.88 × 59,768.22
  4. Step 4: Simplify right side
    106,482.54x = 9,546,411,999.09
  5. Step 5: Solve for x
    x = 9,546,411,999.09/106,482.54
  6. Step 6: Final answer
    x = 89,652.37

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Why These Related Problems?

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